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Finding the Fourth Proportional to 198.25, 273.63 and 120.67

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Solution

The fourth proportional to 198.25, 273.63 and 120.67 is: 166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 273.63 = 120.67 : x
  2. Step 2: Convert to fraction form
    198.25/273.63 = 120.67/x
  3. Step 3: Cross multiply
    198.25x = 273.63 × 120.67
  4. Step 4: Simplify right side
    198.25x = 33,018.93
  5. Step 5: Solve for x
    x = 33,018.93/198.25
  6. Step 6: Final answer
    x = 166.55

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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.