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Finding the Fourth Proportional to 174.87, 261.96 and 134.09

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Solution

The fourth proportional to 174.87, 261.96 and 134.09 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.87 : 261.96 = 134.09 : x
  2. Step 2: Convert to fraction form
    174.87/261.96 = 134.09/x
  3. Step 3: Cross multiply
    174.87x = 261.96 × 134.09
  4. Step 4: Simplify right side
    174.87x = 35,126.13
  5. Step 5: Solve for x
    x = 35,126.13/174.87
  6. Step 6: Final answer
    x = 200.87

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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.