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Finding the Fourth Proportional to 182.43, 252.27 and 163.91

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Solution

The fourth proportional to 182.43, 252.27 and 163.91 is: 226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.43 : 252.27 = 163.91 : x
  2. Step 2: Convert to fraction form
    182.43/252.27 = 163.91/x
  3. Step 3: Cross multiply
    182.43x = 252.27 × 163.91
  4. Step 4: Simplify right side
    182.43x = 41,348.31
  5. Step 5: Solve for x
    x = 41,348.31/182.43
  6. Step 6: Final answer
    x = 226.65

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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.