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Finding the Fourth Proportional to 232.71, 321.12 and 149.67

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Solution

The fourth proportional to 232.71, 321.12 and 149.67 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.71 : 321.12 = 149.67 : x
  2. Step 2: Convert to fraction form
    232.71/321.12 = 149.67/x
  3. Step 3: Cross multiply
    232.71x = 321.12 × 149.67
  4. Step 4: Simplify right side
    232.71x = 48,062.03
  5. Step 5: Solve for x
    x = 48,062.03/232.71
  6. Step 6: Final answer
    x = 206.53

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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.