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Finding the Fourth Proportional to 232.65, 320.92 and 144.07

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Solution

The fourth proportional to 232.65, 320.92 and 144.07 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.65 : 320.92 = 144.07 : x
  2. Step 2: Convert to fraction form
    232.65/320.92 = 144.07/x
  3. Step 3: Cross multiply
    232.65x = 320.92 × 144.07
  4. Step 4: Simplify right side
    232.65x = 46,234.94
  5. Step 5: Solve for x
    x = 46,234.94/232.65
  6. Step 6: Final answer
    x = 198.73

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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.