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Finding the Fourth Proportional to 232.52, 348.36 and 124.06

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Solution

The fourth proportional to 232.52, 348.36 and 124.06 is: 185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 348.36 = 124.06 : x
  2. Step 2: Convert to fraction form
    232.52/348.36 = 124.06/x
  3. Step 3: Cross multiply
    232.52x = 348.36 × 124.06
  4. Step 4: Simplify right side
    232.52x = 43,217.54
  5. Step 5: Solve for x
    x = 43,217.54/232.52
  6. Step 6: Final answer
    x = 185.87

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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.