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Finding the Fourth Proportional to 237.20, 327.44 and 163.56

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Solution

The fourth proportional to 237.20, 327.44 and 163.56 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 327.44 = 163.56 : x
  2. Step 2: Convert to fraction form
    237.20/327.44 = 163.56/x
  3. Step 3: Cross multiply
    237.20x = 327.44 × 163.56
  4. Step 4: Simplify right side
    237.20x = 53,556.09
  5. Step 5: Solve for x
    x = 53,556.09/237.20
  6. Step 6: Final answer
    x = 225.78

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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.