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Finding the Fourth Proportional to 269.56, 371.76 and 180.85

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Solution

The fourth proportional to 269.56, 371.76 and 180.85 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 371.76 = 180.85 : x
  2. Step 2: Convert to fraction form
    269.56/371.76 = 180.85/x
  3. Step 3: Cross multiply
    269.56x = 371.76 × 180.85
  4. Step 4: Simplify right side
    269.56x = 67,232.80
  5. Step 5: Solve for x
    x = 67,232.80/269.56
  6. Step 6: Final answer
    x = 249.42

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Why These Related Problems?

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