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Finding the Fourth Proportional to 166.38, 249.46 and 58.16

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Solution

The fourth proportional to 166.38, 249.46 and 58.16 is: 87.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 249.46 = 58.16 : x
  2. Step 2: Convert to fraction form
    166.38/249.46 = 58.16/x
  3. Step 3: Cross multiply
    166.38x = 249.46 × 58.16
  4. Step 4: Simplify right side
    166.38x = 14,508.59
  5. Step 5: Solve for x
    x = 14,508.59/166.38
  6. Step 6: Final answer
    x = 87.20

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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.