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Finding the Fourth Proportional to 232.49, 320.78 and 183.22

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Solution

The fourth proportional to 232.49, 320.78 and 183.22 is: 252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 320.78 = 183.22 : x
  2. Step 2: Convert to fraction form
    232.49/320.78 = 183.22/x
  3. Step 3: Cross multiply
    232.49x = 320.78 × 183.22
  4. Step 4: Simplify right side
    232.49x = 58,770.79
  5. Step 5: Solve for x
    x = 58,770.79/232.49
  6. Step 6: Final answer
    x = 252.79

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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.