To convert pounds to kilograms, you can use the conversion factor where 1 pound is approximately 0.453592 kilograms.
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Convert the weight from pounds to kilograms:
\[ 66 \text{ pounds} \times 0.453592 \text{ kg/pound} \approx 29.94 \text{ kg} \]
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Calculate the prescribed dosage:
The physician ordered aminophylline at a dosage of 7.5 mg/kg.
\[ \text{Dosage} = 7.5 \text{ mg/kg} \times 29.94 \text{ kg} \approx 224.55 \text{ mg} \]
Therefore, the prescribed dosage of aminophylline for the child is approximately 224.55 mg.