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Finding the Fourth Proportional to 281.29, 422.75 and 137.11

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Solution

The fourth proportional to 281.29, 422.75 and 137.11 is: 206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.29 : 422.75 = 137.11 : x
  2. Step 2: Convert to fraction form
    281.29/422.75 = 137.11/x
  3. Step 3: Cross multiply
    281.29x = 422.75 × 137.11
  4. Step 4: Simplify right side
    281.29x = 57,963.25
  5. Step 5: Solve for x
    x = 57,963.25/281.29
  6. Step 6: Final answer
    x = 206.06

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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.