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Finding the Fourth Proportional to 232.83, 321.17 and 149.99

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Solution

The fourth proportional to 232.83, 321.17 and 149.99 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 321.17 = 149.99 : x
  2. Step 2: Convert to fraction form
    232.83/321.17 = 149.99/x
  3. Step 3: Cross multiply
    232.83x = 321.17 × 149.99
  4. Step 4: Simplify right side
    232.83x = 48,169.93
  5. Step 5: Solve for x
    x = 48,169.93/232.83
  6. Step 6: Final answer
    x = 206.89

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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.