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Finding the Fourth Proportional to 232.65, 320.90 and 149.76

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Solution

The fourth proportional to 232.65, 320.90 and 149.76 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.65 : 320.90 = 149.76 : x
  2. Step 2: Convert to fraction form
    232.65/320.90 = 149.76/x
  3. Step 3: Cross multiply
    232.65x = 320.90 × 149.76
  4. Step 4: Simplify right side
    232.65x = 48,057.24
  5. Step 5: Solve for x
    x = 48,057.24/232.65
  6. Step 6: Final answer
    x = 206.56

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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.