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Finding the Fourth Proportional to 182.56, 251.92 and 113.44

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Solution

The fourth proportional to 182.56, 251.92 and 113.44 is: 156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 251.92 = 113.44 : x
  2. Step 2: Convert to fraction form
    182.56/251.92 = 113.44/x
  3. Step 3: Cross multiply
    182.56x = 251.92 × 113.44
  4. Step 4: Simplify right side
    182.56x = 28,577.80
  5. Step 5: Solve for x
    x = 28,577.80/182.56
  6. Step 6: Final answer
    x = 156.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.