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Finding the Fourth Proportional to 237.32, 327.36 and 163.63

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Solution

The fourth proportional to 237.32, 327.36 and 163.63 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.32 : 327.36 = 163.63 : x
  2. Step 2: Convert to fraction form
    237.32/327.36 = 163.63/x
  3. Step 3: Cross multiply
    237.32x = 327.36 × 163.63
  4. Step 4: Simplify right side
    237.32x = 53,565.92
  5. Step 5: Solve for x
    x = 53,565.92/237.32
  6. Step 6: Final answer
    x = 225.71

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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.