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Finding the Fourth Proportional to 198.49, 273.97 and 120.93

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Solution

The fourth proportional to 198.49, 273.97 and 120.93 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 273.97 = 120.93 : x
  2. Step 2: Convert to fraction form
    198.49/273.97 = 120.93/x
  3. Step 3: Cross multiply
    198.49x = 273.97 × 120.93
  4. Step 4: Simplify right side
    198.49x = 33,131.19
  5. Step 5: Solve for x
    x = 33,131.19/198.49
  6. Step 6: Final answer
    x = 166.92

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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.