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Finding the Fourth Proportional to 232.40, 348.67 and 141.68

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Solution

The fourth proportional to 232.40, 348.67 and 141.68 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 348.67 = 141.68 : x
  2. Step 2: Convert to fraction form
    232.40/348.67 = 141.68/x
  3. Step 3: Cross multiply
    232.40x = 348.67 × 141.68
  4. Step 4: Simplify right side
    232.40x = 49,400.61
  5. Step 5: Solve for x
    x = 49,400.61/232.40
  6. Step 6: Final answer
    x = 212.56

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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.