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Finding the Fourth Proportional to 281.64, 422.13 and 98.97

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Solution

The fourth proportional to 281.64, 422.13 and 98.97 is: 148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.64 : 422.13 = 98.97 : x
  2. Step 2: Convert to fraction form
    281.64/422.13 = 98.97/x
  3. Step 3: Cross multiply
    281.64x = 422.13 × 98.97
  4. Step 4: Simplify right side
    281.64x = 41,778.21
  5. Step 5: Solve for x
    x = 41,778.21/281.64
  6. Step 6: Final answer
    x = 148.34

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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.