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Finding the Fourth Proportional to 281.92, 422.96 and 199.81

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Solution

The fourth proportional to 281.92, 422.96 and 199.81 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 422.96 = 199.81 : x
  2. Step 2: Convert to fraction form
    281.92/422.96 = 199.81/x
  3. Step 3: Cross multiply
    281.92x = 422.96 × 199.81
  4. Step 4: Simplify right side
    281.92x = 84,512.67
  5. Step 5: Solve for x
    x = 84,512.67/281.92
  6. Step 6: Final answer
    x = 299.78

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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.