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Finding the Fourth Proportional to 281.73, 422.13 and 200.17

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Solution

The fourth proportional to 281.73, 422.13 and 200.17 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.73 : 422.13 = 200.17 : x
  2. Step 2: Convert to fraction form
    281.73/422.13 = 200.17/x
  3. Step 3: Cross multiply
    281.73x = 422.13 × 200.17
  4. Step 4: Simplify right side
    281.73x = 84,497.76
  5. Step 5: Solve for x
    x = 84,497.76/281.73
  6. Step 6: Final answer
    x = 299.92

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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.