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Finding the Fourth Proportional to 198.84, 273.78 and 169.28

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Solution

The fourth proportional to 198.84, 273.78 and 169.28 is: 233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 273.78 = 169.28 : x
  2. Step 2: Convert to fraction form
    198.84/273.78 = 169.28/x
  3. Step 3: Cross multiply
    198.84x = 273.78 × 169.28
  4. Step 4: Simplify right side
    198.84x = 46,344.11
  5. Step 5: Solve for x
    x = 46,344.11/198.84
  6. Step 6: Final answer
    x = 233.07

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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.