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Finding the Fourth Proportional to 198.66, 273.54 and 169.10

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Solution

The fourth proportional to 198.66, 273.54 and 169.10 is: 232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.66 : 273.54 = 169.10 : x
  2. Step 2: Convert to fraction form
    198.66/273.54 = 169.10/x
  3. Step 3: Cross multiply
    198.66x = 273.54 × 169.10
  4. Step 4: Simplify right side
    198.66x = 46,255.61
  5. Step 5: Solve for x
    x = 46,255.61/198.66
  6. Step 6: Final answer
    x = 232.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.