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Finding the Fourth Proportional to 198.54, 295.62 and 196.36

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Solution

The fourth proportional to 198.54, 295.62 and 196.36 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 295.62 = 196.36 : x
  2. Step 2: Convert to fraction form
    198.54/295.62 = 196.36/x
  3. Step 3: Cross multiply
    198.54x = 295.62 × 196.36
  4. Step 4: Simplify right side
    198.54x = 58,047.94
  5. Step 5: Solve for x
    x = 58,047.94/198.54
  6. Step 6: Final answer
    x = 292.37

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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.