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Finding the Fourth Proportional to 174.27, 261.12 and 113.34

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Solution

The fourth proportional to 174.27, 261.12 and 113.34 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.27 : 261.12 = 113.34 : x
  2. Step 2: Convert to fraction form
    174.27/261.12 = 113.34/x
  3. Step 3: Cross multiply
    174.27x = 261.12 × 113.34
  4. Step 4: Simplify right side
    174.27x = 29,595.34
  5. Step 5: Solve for x
    x = 29,595.34/174.27
  6. Step 6: Final answer
    x = 169.82

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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.