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Finding the Fourth Proportional to 232.43, 348.57 and 102.42

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Solution

The fourth proportional to 232.43, 348.57 and 102.42 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.43 : 348.57 = 102.42 : x
  2. Step 2: Convert to fraction form
    232.43/348.57 = 102.42/x
  3. Step 3: Cross multiply
    232.43x = 348.57 × 102.42
  4. Step 4: Simplify right side
    232.43x = 35,700.54
  5. Step 5: Solve for x
    x = 35,700.54/232.43
  6. Step 6: Final answer
    x = 153.60

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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.