To find the weight of one teaspoon of nutmeg, divide the total weight of the box by the number of teaspoons. So, ( \frac{99.66 \text{ grams}}{22 \text{ teaspoons}} \approx 4.53 \text{ grams per teaspoon} ). Rounding to the nearest thousandth, one teaspoon of nutmeg weighs approximately 4.536 grams.
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