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Finding the Fourth Proportional to 252.96, 379.26 and 180.66

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Solution

The fourth proportional to 252.96, 379.26 and 180.66 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 379.26 = 180.66 : x
  2. Step 2: Convert to fraction form
    252.96/379.26 = 180.66/x
  3. Step 3: Cross multiply
    252.96x = 379.26 × 180.66
  4. Step 4: Simplify right side
    252.96x = 68,517.11
  5. Step 5: Solve for x
    x = 68,517.11/252.96
  6. Step 6: Final answer
    x = 270.86

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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.