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Finding the Fourth Proportional to 281.25, 422.09 and 195.19

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Solution

The fourth proportional to 281.25, 422.09 and 195.19 is: 292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 422.09 = 195.19 : x
  2. Step 2: Convert to fraction form
    281.25/422.09 = 195.19/x
  3. Step 3: Cross multiply
    281.25x = 422.09 × 195.19
  4. Step 4: Simplify right side
    281.25x = 82,387.18
  5. Step 5: Solve for x
    x = 82,387.18/281.25
  6. Step 6: Final answer
    x = 292.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.