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Finding the Fourth Proportional to 288.23, 397.78 and 163.92

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Solution

The fourth proportional to 288.23, 397.78 and 163.92 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 397.78 = 163.92 : x
  2. Step 2: Convert to fraction form
    288.23/397.78 = 163.92/x
  3. Step 3: Cross multiply
    288.23x = 397.78 × 163.92
  4. Step 4: Simplify right side
    288.23x = 65,204.10
  5. Step 5: Solve for x
    x = 65,204.10/288.23
  6. Step 6: Final answer
    x = 226.22

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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.