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Finding the Fourth Proportional to 198.08, 271.55 and 197.84

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Solution

The fourth proportional to 198.08, 271.55 and 197.84 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 271.55 = 197.84 : x
  2. Step 2: Convert to fraction form
    198.08/271.55 = 197.84/x
  3. Step 3: Cross multiply
    198.08x = 271.55 × 197.84
  4. Step 4: Simplify right side
    198.08x = 53,721.11
  5. Step 5: Solve for x
    x = 53,721.11/198.08
  6. Step 6: Final answer
    x = 271.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.