We need to solve the proportion:

\[
\frac{16}{44} = \frac{x}{376}
\]

To solve for \( x \), follow these steps:

1. First, simplify the fraction \( \frac{16}{44} \) to its lowest terms by finding the greatest common divisor (GCD) of 16 and 44.

The GCD of 16 and 44 is 4. Now divide both the numerator and denominator by 4:

\[
\frac{16}{44} = \frac{16 \div 4}{44 \div 4} = \frac{4}{11}
\]

Now, the equation becomes:

\[
\frac{4}{11} = \frac{x}{376}
\]

2. To find \( x \), cross-multiply:

\[
4 \times 376 = 11 \times x
\]

\[
1504 = 11x
\]

3. Solve for \( x \):

\[
x = \frac{1504}{11} = 136.73
\]

So, \( x \approx 136.73 \). 

Would you like any further details or explanations?

Here are 5 related questions for practice:
1. Simplify \( \frac{24}{36} \) to its lowest terms.
2. Solve \( \frac{5}{12} = \frac{x}{24} \).
3. Simplify \( \frac{18}{42} \) and find the missing term in \( \frac{18}{42} = \frac{x}{84} \).
4. Solve the equation \( \frac{7}{9} = \frac{x}{63} \).
5. Reduce \( \frac{32}{48} \) and solve \( \frac{32}{48} = \frac{x}{72} \).

**Tip:** Always reduce fractions to their simplest form before solving proportions.

Understand how to solve the proportion 16/44 = ?/376 by simplifying fractions and applying cross-multiplication. Learn step-by-step methods to reduce the fraction to its lowest terms and find the unknown value. Suitable for students in Grades 6-8.

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