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Finding the Fourth Proportional to 185.96, 278.25 and 116.57

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Solution

The fourth proportional to 185.96, 278.25 and 116.57 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.96 : 278.25 = 116.57 : x
  2. Step 2: Convert to fraction form
    185.96/278.25 = 116.57/x
  3. Step 3: Cross multiply
    185.96x = 278.25 × 116.57
  4. Step 4: Simplify right side
    185.96x = 32,435.60
  5. Step 5: Solve for x
    x = 32,435.60/185.96
  6. Step 6: Final answer
    x = 174.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.