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Finding the Fourth Proportional to 166.32, 229.86 and 129.44

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Solution

The fourth proportional to 166.32, 229.86 and 129.44 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 229.86 = 129.44 : x
  2. Step 2: Convert to fraction form
    166.32/229.86 = 129.44/x
  3. Step 3: Cross multiply
    166.32x = 229.86 × 129.44
  4. Step 4: Simplify right side
    166.32x = 29,753.08
  5. Step 5: Solve for x
    x = 29,753.08/166.32
  6. Step 6: Final answer
    x = 178.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.