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Finding the Fourth Proportional to 269.21, 371.44 and 180.82

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Solution

The fourth proportional to 269.21, 371.44 and 180.82 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.21 : 371.44 = 180.82 : x
  2. Step 2: Convert to fraction form
    269.21/371.44 = 180.82/x
  3. Step 3: Cross multiply
    269.21x = 371.44 × 180.82
  4. Step 4: Simplify right side
    269.21x = 67,163.78
  5. Step 5: Solve for x
    x = 67,163.78/269.21
  6. Step 6: Final answer
    x = 249.48

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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.