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Finding the Fourth Proportional to 174.52, 261.78 and 92.24

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Solution

The fourth proportional to 174.52, 261.78 and 92.24 is: 138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.52 : 261.78 = 92.24 : x
  2. Step 2: Convert to fraction form
    174.52/261.78 = 92.24/x
  3. Step 3: Cross multiply
    174.52x = 261.78 × 92.24
  4. Step 4: Simplify right side
    174.52x = 24,144.82
  5. Step 5: Solve for x
    x = 24,144.82/174.52
  6. Step 6: Final answer
    x = 138.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.