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Finding the Fourth Proportional to 281.40, 422.02 and 194.73

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Solution

The fourth proportional to 281.40, 422.02 and 194.73 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 422.02 = 194.73 : x
  2. Step 2: Convert to fraction form
    281.40/422.02 = 194.73/x
  3. Step 3: Cross multiply
    281.40x = 422.02 × 194.73
  4. Step 4: Simplify right side
    281.40x = 82,179.95
  5. Step 5: Solve for x
    x = 82,179.95/281.40
  6. Step 6: Final answer
    x = 292.04

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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.