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Finding the Fourth Proportional to 281.44, 422.26 and 137.26

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Solution

The fourth proportional to 281.44, 422.26 and 137.26 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 422.26 = 137.26 : x
  2. Step 2: Convert to fraction form
    281.44/422.26 = 137.26/x
  3. Step 3: Cross multiply
    281.44x = 422.26 × 137.26
  4. Step 4: Simplify right side
    281.44x = 57,959.41
  5. Step 5: Solve for x
    x = 57,959.41/281.44
  6. Step 6: Final answer
    x = 205.94

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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.