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Finding the Fourth Proportional to 198.59, 274.26 and 163.97

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Solution

The fourth proportional to 198.59, 274.26 and 163.97 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 274.26 = 163.97 : x
  2. Step 2: Convert to fraction form
    198.59/274.26 = 163.97/x
  3. Step 3: Cross multiply
    198.59x = 274.26 × 163.97
  4. Step 4: Simplify right side
    198.59x = 44,970.41
  5. Step 5: Solve for x
    x = 44,970.41/198.59
  6. Step 6: Final answer
    x = 226.45

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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.