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Finding the Fourth Proportional to 232.06, 348.22 and 87.88

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Solution

The fourth proportional to 232.06, 348.22 and 87.88 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 348.22 = 87.88 : x
  2. Step 2: Convert to fraction form
    232.06/348.22 = 87.88/x
  3. Step 3: Cross multiply
    232.06x = 348.22 × 87.88
  4. Step 4: Simplify right side
    232.06x = 30,601.57
  5. Step 5: Solve for x
    x = 30,601.57/232.06
  6. Step 6: Final answer
    x = 131.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.