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Finding the Fourth Proportional to 269.73, 372.33 and 204.39

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Solution

The fourth proportional to 269.73, 372.33 and 204.39 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.73 : 372.33 = 204.39 : x
  2. Step 2: Convert to fraction form
    269.73/372.33 = 204.39/x
  3. Step 3: Cross multiply
    269.73x = 372.33 × 204.39
  4. Step 4: Simplify right side
    269.73x = 76,100.53
  5. Step 5: Solve for x
    x = 76,100.53/269.73
  6. Step 6: Final answer
    x = 282.14

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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.