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Finding the Fourth Proportional to 166.29, 249.17 and 114.75

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Solution

The fourth proportional to 166.29, 249.17 and 114.75 is: 171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.29 : 249.17 = 114.75 : x
  2. Step 2: Convert to fraction form
    166.29/249.17 = 114.75/x
  3. Step 3: Cross multiply
    166.29x = 249.17 × 114.75
  4. Step 4: Simplify right side
    166.29x = 28,592.26
  5. Step 5: Solve for x
    x = 28,592.26/166.29
  6. Step 6: Final answer
    x = 171.94

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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.