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Finding the Fourth Proportional to 215.98, 298.29 and 163.78

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Solution

The fourth proportional to 215.98, 298.29 and 163.78 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 298.29 = 163.78 : x
  2. Step 2: Convert to fraction form
    215.98/298.29 = 163.78/x
  3. Step 3: Cross multiply
    215.98x = 298.29 × 163.78
  4. Step 4: Simplify right side
    215.98x = 48,853.94
  5. Step 5: Solve for x
    x = 48,853.94/215.98
  6. Step 6: Final answer
    x = 226.20

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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.