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Finding the Fourth Proportional to 281.71, 422.16 and 200.71

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Solution

The fourth proportional to 281.71, 422.16 and 200.71 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.71 : 422.16 = 200.71 : x
  2. Step 2: Convert to fraction form
    281.71/422.16 = 200.71/x
  3. Step 3: Cross multiply
    281.71x = 422.16 × 200.71
  4. Step 4: Simplify right side
    281.71x = 84,731.73
  5. Step 5: Solve for x
    x = 84,731.73/281.71
  6. Step 6: Final answer
    x = 300.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.