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Finding the Fourth Proportional to 198.42, 295.98 and 177.90

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Solution

The fourth proportional to 198.42, 295.98 and 177.90 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 295.98 = 177.90 : x
  2. Step 2: Convert to fraction form
    198.42/295.98 = 177.90/x
  3. Step 3: Cross multiply
    198.42x = 295.98 × 177.90
  4. Step 4: Simplify right side
    198.42x = 52,654.84
  5. Step 5: Solve for x
    x = 52,654.84/198.42
  6. Step 6: Final answer
    x = 265.37

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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.