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Finding the Fourth Proportional to 237.44, 327.30 and 163.82

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Solution

The fourth proportional to 237.44, 327.30 and 163.82 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 327.30 = 163.82 : x
  2. Step 2: Convert to fraction form
    237.44/327.30 = 163.82/x
  3. Step 3: Cross multiply
    237.44x = 327.30 × 163.82
  4. Step 4: Simplify right side
    237.44x = 53,618.29
  5. Step 5: Solve for x
    x = 53,618.29/237.44
  6. Step 6: Final answer
    x = 225.82

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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.