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Finding the Fourth Proportional to 237.78, 327.73 and 163.97

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Solution

The fourth proportional to 237.78, 327.73 and 163.97 is: 226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 327.73 = 163.97 : x
  2. Step 2: Convert to fraction form
    237.78/327.73 = 163.97/x
  3. Step 3: Cross multiply
    237.78x = 327.73 × 163.97
  4. Step 4: Simplify right side
    237.78x = 53,737.89
  5. Step 5: Solve for x
    x = 53,737.89/237.78
  6. Step 6: Final answer
    x = 226.00

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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.