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Finding the Fourth Proportional to 166.92, 249.90 and 117.86

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Solution

The fourth proportional to 166.92, 249.90 and 117.86 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 249.90 = 117.86 : x
  2. Step 2: Convert to fraction form
    166.92/249.90 = 117.86/x
  3. Step 3: Cross multiply
    166.92x = 249.90 × 117.86
  4. Step 4: Simplify right side
    166.92x = 29,451.96
  5. Step 5: Solve for x
    x = 29,451.96/166.92
  6. Step 6: Final answer
    x = 176.44

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