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Finding the Fourth Proportional to 166.42, 229.33 and 129.52

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Solution

The fourth proportional to 166.42, 229.33 and 129.52 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 229.33 = 129.52 : x
  2. Step 2: Convert to fraction form
    166.42/229.33 = 129.52/x
  3. Step 3: Cross multiply
    166.42x = 229.33 × 129.52
  4. Step 4: Simplify right side
    166.42x = 29,701.92
  5. Step 5: Solve for x
    x = 29,701.92/166.42
  6. Step 6: Final answer
    x = 178.48

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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.