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Finding the Fourth Proportional to 216.98, 299.44 and 118.73

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Solution

The fourth proportional to 216.98, 299.44 and 118.73 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.98 : 299.44 = 118.73 : x
  2. Step 2: Convert to fraction form
    216.98/299.44 = 118.73/x
  3. Step 3: Cross multiply
    216.98x = 299.44 × 118.73
  4. Step 4: Simplify right side
    216.98x = 35,553.30
  5. Step 5: Solve for x
    x = 35,553.30/216.98
  6. Step 6: Final answer
    x = 163.85

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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.