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Answer :
To achieve a body fat percentage of 16%, your client should aim for a target weight of approximately b. 178 lb, assuming no change in fat-free mass.
Calculating Target Weight Based on Body Fat Percentage
To calculate your client's target weight when aiming for a body fat percentage (%BF) of 16%, we can use the following formula:
Target Weight = Fat-Free Mass (FFM) ÷ (1 - Desired %BF)
Given:
- Current Weight = 202 lb
- Fat-Free Mass (FFM) = 149.5 lb
- Current %BF = 26%
- Desired %BF = 16%
First, let's confirm the fat-free mass (FFM):
Fat-Free Mass (FFM) = Current Weight × (1 - Current %BF)
149.5 lb = 202 lb × (1 - 0.26)
This confirms that the given FFM is accurate. Now, we will determine the target weight:
Target Weight = 149.5 lb ÷ (1 - 0.16)
Target Weight = 149.5 lb ÷ 0.84
Target Weight ≈ 178 lb
So, the target weight your client needs to achieve to reach a body fat percentage of 16% is approximately 178 lb.
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