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Finding the Fourth Proportional to 237.42, 327.45 and 163.72

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Solution

The fourth proportional to 237.42, 327.45 and 163.72 is: 225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.45 = 163.72 : x
  2. Step 2: Convert to fraction form
    237.42/327.45 = 163.72/x
  3. Step 3: Cross multiply
    237.42x = 327.45 × 163.72
  4. Step 4: Simplify right side
    237.42x = 53,610.11
  5. Step 5: Solve for x
    x = 53,610.11/237.42
  6. Step 6: Final answer
    x = 225.80

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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.