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Finding the Fourth Proportional to 269.70, 402.84 and 215.44

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Solution

The fourth proportional to 269.70, 402.84 and 215.44 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 402.84 = 215.44 : x
  2. Step 2: Convert to fraction form
    269.70/402.84 = 215.44/x
  3. Step 3: Cross multiply
    269.70x = 402.84 × 215.44
  4. Step 4: Simplify right side
    269.70x = 86,787.85
  5. Step 5: Solve for x
    x = 86,787.85/269.70
  6. Step 6: Final answer
    x = 321.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.