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Finding the Fourth Proportional to 232.42, 348.51 and 88.06

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Solution

The fourth proportional to 232.42, 348.51 and 88.06 is: 132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 348.51 = 88.06 : x
  2. Step 2: Convert to fraction form
    232.42/348.51 = 88.06/x
  3. Step 3: Cross multiply
    232.42x = 348.51 × 88.06
  4. Step 4: Simplify right side
    232.42x = 30,689.79
  5. Step 5: Solve for x
    x = 30,689.79/232.42
  6. Step 6: Final answer
    x = 132.04

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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.