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Finding the Fourth Proportional to 198.16, 273.46 and 120.53

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Solution

The fourth proportional to 198.16, 273.46 and 120.53 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 273.46 = 120.53 : x
  2. Step 2: Convert to fraction form
    198.16/273.46 = 120.53/x
  3. Step 3: Cross multiply
    198.16x = 273.46 × 120.53
  4. Step 4: Simplify right side
    198.16x = 32,960.02
  5. Step 5: Solve for x
    x = 32,960.02/198.16
  6. Step 6: Final answer
    x = 166.33

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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.