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Finding the Fourth Proportional to 232.72, 348.52 and 134.92

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Solution

The fourth proportional to 232.72, 348.52 and 134.92 is: 202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 348.52 = 134.92 : x
  2. Step 2: Convert to fraction form
    232.72/348.52 = 134.92/x
  3. Step 3: Cross multiply
    232.72x = 348.52 × 134.92
  4. Step 4: Simplify right side
    232.72x = 47,022.32
  5. Step 5: Solve for x
    x = 47,022.32/232.72
  6. Step 6: Final answer
    x = 202.06

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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.