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Finding the Fourth Proportional to 232.67, 349.07 and 86.47

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Solution

The fourth proportional to 232.67, 349.07 and 86.47 is: 129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 349.07 = 86.47 : x
  2. Step 2: Convert to fraction form
    232.67/349.07 = 86.47/x
  3. Step 3: Cross multiply
    232.67x = 349.07 × 86.47
  4. Step 4: Simplify right side
    232.67x = 30,182.78
  5. Step 5: Solve for x
    x = 30,182.78/232.67
  6. Step 6: Final answer
    x = 129.72

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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.