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Finding the Fourth Proportional to 281.97, 422.89 and 191.25

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Solution

The fourth proportional to 281.97, 422.89 and 191.25 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 422.89 = 191.25 : x
  2. Step 2: Convert to fraction form
    281.97/422.89 = 191.25/x
  3. Step 3: Cross multiply
    281.97x = 422.89 × 191.25
  4. Step 4: Simplify right side
    281.97x = 80,877.71
  5. Step 5: Solve for x
    x = 80,877.71/281.97
  6. Step 6: Final answer
    x = 286.83

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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.