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A certain medicine is given in an amount proportional to a patient's body weight.

Suppose a patient weighing 164 pounds requires 205 milligrams of medicine.

What is the weight of a patient who requires 173.75 milligrams of medicine?

Answer :

Final answer:

To find the weight of a patient who requires 173.75 milligrams of medicine, you can set up a proportion using the given information and solve for 'x'. The weight of the patient is approximately 138.86 pounds.

Explanation:

To solve this problem, we can set up a proportion using the given information. Let's denote the weight of the patient who requires 173.75 milligrams of medicine as 'x'. The proportion would be:



164 pounds / 205 milligrams = x pounds / 173.75 milligrams



To solve for 'x', we can cross-multiply and then divide:



164 pounds * 173.75 milligrams = x pounds * 205 milligrams

x = (164 pounds * 173.75 milligrams) / 205 milligrams



By simplifying the expression, we find that x is approximately 138.86 pounds. Therefore, the weight of the patient who requires 173.75 milligrams of medicine is approximately 138.86 pounds.

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