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Finding the Fourth Proportional to 269, 402.65 and 225.72

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Solution

The fourth proportional to 269, 402.65 and 225.72 is: 337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 402.65 = 225.72 : x
  2. Step 2: Convert to fraction form
    269/402.65 = 225.72/x
  3. Step 3: Cross multiply
    269x = 402.65 × 225.72
  4. Step 4: Simplify right side
    269x = 90,886.16
  5. Step 5: Solve for x
    x = 90,886.16/269
  6. Step 6: Final answer
    x = 337.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.