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Finding the Fourth Proportional to 251.96, 347.24 and 196.61

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Solution

The fourth proportional to 251.96, 347.24 and 196.61 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 347.24 = 196.61 : x
  2. Step 2: Convert to fraction form
    251.96/347.24 = 196.61/x
  3. Step 3: Cross multiply
    251.96x = 347.24 × 196.61
  4. Step 4: Simplify right side
    251.96x = 68,269.87
  5. Step 5: Solve for x
    x = 68,269.87/251.96
  6. Step 6: Final answer
    x = 270.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.