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Finding the Fourth Proportional to 269.88, 371.70 and 204

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Solution

The fourth proportional to 269.88, 371.70 and 204 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.88 : 371.70 = 204 : x
  2. Step 2: Convert to fraction form
    269.88/371.70 = 204/x
  3. Step 3: Cross multiply
    269.88x = 371.70 × 204
  4. Step 4: Simplify right side
    269.88x = 75,826.80
  5. Step 5: Solve for x
    x = 75,826.80/269.88
  6. Step 6: Final answer
    x = 280.96

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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.