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Finding the Fourth Proportional to 269.10, 371.88 and 203.49

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Solution

The fourth proportional to 269.10, 371.88 and 203.49 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 371.88 = 203.49 : x
  2. Step 2: Convert to fraction form
    269.10/371.88 = 203.49/x
  3. Step 3: Cross multiply
    269.10x = 371.88 × 203.49
  4. Step 4: Simplify right side
    269.10x = 75,673.86
  5. Step 5: Solve for x
    x = 75,673.86/269.10
  6. Step 6: Final answer
    x = 281.21

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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.