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Finding the Fourth Proportional to 232.82, 321.14 and 149.80

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Solution

The fourth proportional to 232.82, 321.14 and 149.80 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 321.14 = 149.80 : x
  2. Step 2: Convert to fraction form
    232.82/321.14 = 149.80/x
  3. Step 3: Cross multiply
    232.82x = 321.14 × 149.80
  4. Step 4: Simplify right side
    232.82x = 48,105.17
  5. Step 5: Solve for x
    x = 48,105.17/232.82
  6. Step 6: Final answer
    x = 206.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.