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Finding the Fourth Proportional to 288.31, 397.87 and 163.97

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Solution

The fourth proportional to 288.31, 397.87 and 163.97 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 397.87 = 163.97 : x
  2. Step 2: Convert to fraction form
    288.31/397.87 = 163.97/x
  3. Step 3: Cross multiply
    288.31x = 397.87 × 163.97
  4. Step 4: Simplify right side
    288.31x = 65,238.74
  5. Step 5: Solve for x
    x = 65,238.74/288.31
  6. Step 6: Final answer
    x = 226.28

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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.