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Finding the Fourth Proportional to 234.57, 323.71 and 140.11

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Solution

The fourth proportional to 234.57, 323.71 and 140.11 is: 193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 323.71 = 140.11 : x
  2. Step 2: Convert to fraction form
    234.57/323.71 = 140.11/x
  3. Step 3: Cross multiply
    234.57x = 323.71 × 140.11
  4. Step 4: Simplify right side
    234.57x = 45,355.01
  5. Step 5: Solve for x
    x = 45,355.01/234.57
  6. Step 6: Final answer
    x = 193.35

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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.