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Finding the Fourth Proportional to 269.84, 371.48 and 204.24

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Solution

The fourth proportional to 269.84, 371.48 and 204.24 is: 281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.84 : 371.48 = 204.24 : x
  2. Step 2: Convert to fraction form
    269.84/371.48 = 204.24/x
  3. Step 3: Cross multiply
    269.84x = 371.48 × 204.24
  4. Step 4: Simplify right side
    269.84x = 75,871.08
  5. Step 5: Solve for x
    x = 75,871.08/269.84
  6. Step 6: Final answer
    x = 281.17

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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.