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Finding the Fourth Proportional to 198.07, 273.30 and 180.66

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Solution

The fourth proportional to 198.07, 273.30 and 180.66 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 273.30 = 180.66 : x
  2. Step 2: Convert to fraction form
    198.07/273.30 = 180.66/x
  3. Step 3: Cross multiply
    198.07x = 273.30 × 180.66
  4. Step 4: Simplify right side
    198.07x = 49,372.93
  5. Step 5: Solve for x
    x = 49,372.93/198.07
  6. Step 6: Final answer
    x = 249.27

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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.