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Finding the Fourth Proportional to 234.73, 323.49 and 169.12

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Solution

The fourth proportional to 234.73, 323.49 and 169.12 is: 233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.73 : 323.49 = 169.12 : x
  2. Step 2: Convert to fraction form
    234.73/323.49 = 169.12/x
  3. Step 3: Cross multiply
    234.73x = 323.49 × 169.12
  4. Step 4: Simplify right side
    234.73x = 54,708.63
  5. Step 5: Solve for x
    x = 54,708.63/234.73
  6. Step 6: Final answer
    x = 233.07

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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.