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\begin{tabular}{l|l|l|l}
Original Value & New Value & Increase in Value & Percentage Increase \\
\hline
100 & 130 & 30 & [tex]$30 \%$[/tex] \\
350 & 525 & 175 & [tex]$50 \%$[/tex] \\
42 & 98.3 & & \\
190 & 275.5 & &
\end{tabular}

Answer :

Sure, let's go through the detailed step-by-step solution for the provided question.

### Step-by-Step Solution

#### Problem Given:
You need to complete the table by calculating the increase in value and the percentage increase for the given original and new values.

The data provided:
- Original Value: 42
- New Value: 98.3

and

- Original Value: 190
- New Value: 275.5

#### Step-by-Step Solution:

1. Calculating the increase in value:

For Original Value: 42 and New Value: 98.3

Increase in value = New Value - Original Value

Increase = 98.3 - 42 = 56.3

For Original Value: 190 and New Value: 275.5

Increase in value = New Value - Original Value

Increase = 275.5 - 190 = 85.5

2. Calculating the percentage increase:

Percentage Increase Formula:
[tex]\[
\text{Percentage Increase} = \left( \frac{\text{Increase in Value}}{\text{Original Value}} \right) \times 100
\][/tex]

For Original Value: 42 and Increase in Value: 56.3
[tex]\[
\text{Percentage Increase} = \left( \frac{56.3}{42} \right) \times 100 \approx 134.05\%
\][/tex]

For Original Value: 190 and Increase in Value: 85.5
[tex]\[
\text{Percentage Increase} = \left( \frac{85.5}{190} \right) \times 100 \approx 45.00\%
\][/tex]

#### Completed Table:
```
\begin{tabular}{l|l|l|l}
Original Value & New Value & Increase in Value & Percentage Increase \\
\hline
100 & 130 & 30 & 30% \\
350 & 525 & 175 & 50% \\
42 & 98.3 & 56.3 & 134.05% \\
190 & 275.5 & 85.5 & 45.00% \\
\end{tabular}
```

So the values to complete the table would be:
- For Original Value 42 and New Value 98.3: Increase in Value = 56.3, Percentage Increase = 134.05%
- For Original Value 190 and New Value 275.5: Increase in Value = 85.5, Percentage Increase = 45.00%

I hope this helps! If you have any further questions, feel free to ask.

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