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Finding the Fourth Proportional to 232.57, 320.81 and 149.65

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Solution

The fourth proportional to 232.57, 320.81 and 149.65 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 320.81 = 149.65 : x
  2. Step 2: Convert to fraction form
    232.57/320.81 = 149.65/x
  3. Step 3: Cross multiply
    232.57x = 320.81 × 149.65
  4. Step 4: Simplify right side
    232.57x = 48,007.67
  5. Step 5: Solve for x
    x = 48,007.67/232.57
  6. Step 6: Final answer
    x = 206.42

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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.