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Finding the Fourth Proportional to 281.53, 422.31 and 98.92

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Solution

The fourth proportional to 281.53, 422.31 and 98.92 is: 148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 422.31 = 98.92 : x
  2. Step 2: Convert to fraction form
    281.53/422.31 = 98.92/x
  3. Step 3: Cross multiply
    281.53x = 422.31 × 98.92
  4. Step 4: Simplify right side
    281.53x = 41,774.91
  5. Step 5: Solve for x
    x = 41,774.91/281.53
  6. Step 6: Final answer
    x = 148.39

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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.