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Finding the Fourth Proportional to 249.98, 374.92 and 76.64

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Solution

The fourth proportional to 249.98, 374.92 and 76.64 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.98 : 374.92 = 76.64 : x
  2. Step 2: Convert to fraction form
    249.98/374.92 = 76.64/x
  3. Step 3: Cross multiply
    249.98x = 374.92 × 76.64
  4. Step 4: Simplify right side
    249.98x = 28,731.80
  5. Step 5: Solve for x
    x = 28,731.80/249.98
  6. Step 6: Final answer
    x = 114.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.