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Finding the Fourth Proportional to 232.69, 349.08 and 140.23

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Solution

The fourth proportional to 232.69, 349.08 and 140.23 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 349.08 = 140.23 : x
  2. Step 2: Convert to fraction form
    232.69/349.08 = 140.23/x
  3. Step 3: Cross multiply
    232.69x = 349.08 × 140.23
  4. Step 4: Simplify right side
    232.69x = 48,951.49
  5. Step 5: Solve for x
    x = 48,951.49/232.69
  6. Step 6: Final answer
    x = 210.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.