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Finding the Fourth Proportional to 237.16, 327.24 and 163.45

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Solution

The fourth proportional to 237.16, 327.24 and 163.45 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 327.24 = 163.45 : x
  2. Step 2: Convert to fraction form
    237.16/327.24 = 163.45/x
  3. Step 3: Cross multiply
    237.16x = 327.24 × 163.45
  4. Step 4: Simplify right side
    237.16x = 53,487.38
  5. Step 5: Solve for x
    x = 53,487.38/237.16
  6. Step 6: Final answer
    x = 225.53

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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.