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Finding the Fourth Proportional to 232.30, 348.15 and 140.90

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Solution

The fourth proportional to 232.30, 348.15 and 140.90 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 348.15 = 140.90 : x
  2. Step 2: Convert to fraction form
    232.30/348.15 = 140.90/x
  3. Step 3: Cross multiply
    232.30x = 348.15 × 140.90
  4. Step 4: Simplify right side
    232.30x = 49,054.34
  5. Step 5: Solve for x
    x = 49,054.34/232.30
  6. Step 6: Final answer
    x = 211.17

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Why These Related Problems?

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