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Finding the Fourth Proportional to 198.42, 295.61 and 186

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Solution

The fourth proportional to 198.42, 295.61 and 186 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 295.61 = 186 : x
  2. Step 2: Convert to fraction form
    198.42/295.61 = 186/x
  3. Step 3: Cross multiply
    198.42x = 295.61 × 186
  4. Step 4: Simplify right side
    198.42x = 54,982.53
  5. Step 5: Solve for x
    x = 54,982.53/198.42
  6. Step 6: Final answer
    x = 277.10

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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.