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Finding the Fourth Proportional to 281.32, 422.20 and 195.26

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Solution

The fourth proportional to 281.32, 422.20 and 195.26 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.32 : 422.20 = 195.26 : x
  2. Step 2: Convert to fraction form
    281.32/422.20 = 195.26/x
  3. Step 3: Cross multiply
    281.32x = 422.20 × 195.26
  4. Step 4: Simplify right side
    281.32x = 82,439.83
  5. Step 5: Solve for x
    x = 82,439.83/281.32
  6. Step 6: Final answer
    x = 293.04

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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.