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Finding the Fourth Proportional to 286.97, 396.18 and 204.17

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Solution

The fourth proportional to 286.97, 396.18 and 204.17 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 396.18 = 204.17 : x
  2. Step 2: Convert to fraction form
    286.97/396.18 = 204.17/x
  3. Step 3: Cross multiply
    286.97x = 396.18 × 204.17
  4. Step 4: Simplify right side
    286.97x = 80,886.09
  5. Step 5: Solve for x
    x = 80,886.09/286.97
  6. Step 6: Final answer
    x = 281.87

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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.