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Finding the Fourth Proportional to 234.38, 323.43 and 136.12

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Solution

The fourth proportional to 234.38, 323.43 and 136.12 is: 187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 323.43 = 136.12 : x
  2. Step 2: Convert to fraction form
    234.38/323.43 = 136.12/x
  3. Step 3: Cross multiply
    234.38x = 323.43 × 136.12
  4. Step 4: Simplify right side
    234.38x = 44,025.29
  5. Step 5: Solve for x
    x = 44,025.29/234.38
  6. Step 6: Final answer
    x = 187.84

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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.