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Finding the Fourth Proportional to 166.43, 249.75 and 75.17

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Solution

The fourth proportional to 166.43, 249.75 and 75.17 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.43 : 249.75 = 75.17 : x
  2. Step 2: Convert to fraction form
    166.43/249.75 = 75.17/x
  3. Step 3: Cross multiply
    166.43x = 249.75 × 75.17
  4. Step 4: Simplify right side
    166.43x = 18,772.46
  5. Step 5: Solve for x
    x = 18,772.46/166.43
  6. Step 6: Final answer
    x = 112.80

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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.