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Finding the Fourth Proportional to 269.30, 371.76 and 180.84

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Solution

The fourth proportional to 269.30, 371.76 and 180.84 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 371.76 = 180.84 : x
  2. Step 2: Convert to fraction form
    269.30/371.76 = 180.84/x
  3. Step 3: Cross multiply
    269.30x = 371.76 × 180.84
  4. Step 4: Simplify right side
    269.30x = 67,229.08
  5. Step 5: Solve for x
    x = 67,229.08/269.30
  6. Step 6: Final answer
    x = 249.64

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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.