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Finding the Fourth Proportional to 232.65, 320.89 and 149.85

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Solution

The fourth proportional to 232.65, 320.89 and 149.85 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.65 : 320.89 = 149.85 : x
  2. Step 2: Convert to fraction form
    232.65/320.89 = 149.85/x
  3. Step 3: Cross multiply
    232.65x = 320.89 × 149.85
  4. Step 4: Simplify right side
    232.65x = 48,084.85
  5. Step 5: Solve for x
    x = 48,084.85/232.65
  6. Step 6: Final answer
    x = 206.69

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