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Finding the Fourth Proportional to 198.14, 295.18 and 195.98

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Solution

The fourth proportional to 198.14, 295.18 and 195.98 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 295.18 = 195.98 : x
  2. Step 2: Convert to fraction form
    198.14/295.18 = 195.98/x
  3. Step 3: Cross multiply
    198.14x = 295.18 × 195.98
  4. Step 4: Simplify right side
    198.14x = 57,849.38
  5. Step 5: Solve for x
    x = 57,849.38/198.14
  6. Step 6: Final answer
    x = 291.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.