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Finding the Fourth Proportional to 281.49, 422.37 and 173.49

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Solution

The fourth proportional to 281.49, 422.37 and 173.49 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.49 : 422.37 = 173.49 : x
  2. Step 2: Convert to fraction form
    281.49/422.37 = 173.49/x
  3. Step 3: Cross multiply
    281.49x = 422.37 × 173.49
  4. Step 4: Simplify right side
    281.49x = 73,276.97
  5. Step 5: Solve for x
    x = 73,276.97/281.49
  6. Step 6: Final answer
    x = 260.32

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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.