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Finding the Fourth Proportional to 231.90, 348.47 and 140.61

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Solution

The fourth proportional to 231.90, 348.47 and 140.61 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 348.47 = 140.61 : x
  2. Step 2: Convert to fraction form
    231.90/348.47 = 140.61/x
  3. Step 3: Cross multiply
    231.90x = 348.47 × 140.61
  4. Step 4: Simplify right side
    231.90x = 48,997.66
  5. Step 5: Solve for x
    x = 48,997.66/231.90
  6. Step 6: Final answer
    x = 211.29

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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.