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Finding the Fourth Proportional to 182.52, 250.56 and 163.62

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Solution

The fourth proportional to 182.52, 250.56 and 163.62 is: 224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.52 : 250.56 = 163.62 : x
  2. Step 2: Convert to fraction form
    182.52/250.56 = 163.62/x
  3. Step 3: Cross multiply
    182.52x = 250.56 × 163.62
  4. Step 4: Simplify right side
    182.52x = 40,996.63
  5. Step 5: Solve for x
    x = 40,996.63/182.52
  6. Step 6: Final answer
    x = 224.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.