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Finding the Fourth Proportional to 166.07, 229.52 and 129.19

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Solution

The fourth proportional to 166.07, 229.52 and 129.19 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.07 : 229.52 = 129.19 : x
  2. Step 2: Convert to fraction form
    166.07/229.52 = 129.19/x
  3. Step 3: Cross multiply
    166.07x = 229.52 × 129.19
  4. Step 4: Simplify right side
    166.07x = 29,651.04
  5. Step 5: Solve for x
    x = 29,651.04/166.07
  6. Step 6: Final answer
    x = 178.55

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