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Finding the Fourth Proportional to 232.20, 347.64 and 140.62

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Solution

The fourth proportional to 232.20, 347.64 and 140.62 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 347.64 = 140.62 : x
  2. Step 2: Convert to fraction form
    232.20/347.64 = 140.62/x
  3. Step 3: Cross multiply
    232.20x = 347.64 × 140.62
  4. Step 4: Simplify right side
    232.20x = 48,885.14
  5. Step 5: Solve for x
    x = 48,885.14/232.20
  6. Step 6: Final answer
    x = 210.53

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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.