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Finding the Fourth Proportional to 308.97, 426.33 and 204.11

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Solution

The fourth proportional to 308.97, 426.33 and 204.11 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.97 : 426.33 = 204.11 : x
  2. Step 2: Convert to fraction form
    308.97/426.33 = 204.11/x
  3. Step 3: Cross multiply
    308.97x = 426.33 × 204.11
  4. Step 4: Simplify right side
    308.97x = 87,016.08
  5. Step 5: Solve for x
    x = 87,016.08/308.97
  6. Step 6: Final answer
    x = 281.63

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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.