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Finding the Fourth Proportional to 232.92, 348.87 and 111.15

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Solution

The fourth proportional to 232.92, 348.87 and 111.15 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 348.87 = 111.15 : x
  2. Step 2: Convert to fraction form
    232.92/348.87 = 111.15/x
  3. Step 3: Cross multiply
    232.92x = 348.87 × 111.15
  4. Step 4: Simplify right side
    232.92x = 38,776.90
  5. Step 5: Solve for x
    x = 38,776.90/232.92
  6. Step 6: Final answer
    x = 166.48

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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.