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Finding the Fourth Proportional to 232.34, 348.35 and 93.42

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Solution

The fourth proportional to 232.34, 348.35 and 93.42 is: 140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 348.35 = 93.42 : x
  2. Step 2: Convert to fraction form
    232.34/348.35 = 93.42/x
  3. Step 3: Cross multiply
    232.34x = 348.35 × 93.42
  4. Step 4: Simplify right side
    232.34x = 32,542.92
  5. Step 5: Solve for x
    x = 32,542.92/232.34
  6. Step 6: Final answer
    x = 140.07

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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.