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Finding the Fourth Proportional to 174.88, 261.92 and 167.52

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Solution

The fourth proportional to 174.88, 261.92 and 167.52 is: 250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.88 : 261.92 = 167.52 : x
  2. Step 2: Convert to fraction form
    174.88/261.92 = 167.52/x
  3. Step 3: Cross multiply
    174.88x = 261.92 × 167.52
  4. Step 4: Simplify right side
    174.88x = 43,876.84
  5. Step 5: Solve for x
    x = 43,876.84/174.88
  6. Step 6: Final answer
    x = 250.90

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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.