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Finding the Fourth Proportional to 174.18, 261.68 and 126.39

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Solution

The fourth proportional to 174.18, 261.68 and 126.39 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.18 : 261.68 = 126.39 : x
  2. Step 2: Convert to fraction form
    174.18/261.68 = 126.39/x
  3. Step 3: Cross multiply
    174.18x = 261.68 × 126.39
  4. Step 4: Simplify right side
    174.18x = 33,073.10
  5. Step 5: Solve for x
    x = 33,073.10/174.18
  6. Step 6: Final answer
    x = 189.88

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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.