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Finding the Fourth Proportional to 269.05, 402.96 and 211.14

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Solution

The fourth proportional to 269.05, 402.96 and 211.14 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.05 : 402.96 = 211.14 : x
  2. Step 2: Convert to fraction form
    269.05/402.96 = 211.14/x
  3. Step 3: Cross multiply
    269.05x = 402.96 × 211.14
  4. Step 4: Simplify right side
    269.05x = 85,080.97
  5. Step 5: Solve for x
    x = 85,080.97/269.05
  6. Step 6: Final answer
    x = 316.23

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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.