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Finding the Fourth Proportional to 232.49, 320.67 and 209.13

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Solution

The fourth proportional to 232.49, 320.67 and 209.13 is: 288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 320.67 = 209.13 : x
  2. Step 2: Convert to fraction form
    232.49/320.67 = 209.13/x
  3. Step 3: Cross multiply
    232.49x = 320.67 × 209.13
  4. Step 4: Simplify right side
    232.49x = 67,061.72
  5. Step 5: Solve for x
    x = 67,061.72/232.49
  6. Step 6: Final answer
    x = 288.45

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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.