Final answer:
To find the weight of the patient who requires 194.25 mg of medicine, set up a proportion based on the given 140 pounds patient needing 147 mg, and solve for the unknown weight.
Step-by-step explanation:
The question is asking to find the weight of a patient who requires 194.25 mg of medicine, given that a patient weighing 140 pounds requires 147 mg of medicine. We can solve this by setting up a proportion since the amount of medicine required is directly proportional to the patient's weight. The proportion is as follows:
140 lbs / 147 mg = x lbs / 194.25 mg
To find the weight of the patient (x), we cross-multiply and solve for x:
140 lbs × 194.25 mg = 147 mg × x lbs
x = (140 lbs × 194.25 mg) / 147 mg
By performing the calculation, you can find the weight of the patient who requires 194.25 mg of medicine.