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Finding the Fourth Proportional to 185.38, 278.13 and 116.82

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Solution

The fourth proportional to 185.38, 278.13 and 116.82 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 278.13 = 116.82 : x
  2. Step 2: Convert to fraction form
    185.38/278.13 = 116.82/x
  3. Step 3: Cross multiply
    185.38x = 278.13 × 116.82
  4. Step 4: Simplify right side
    185.38x = 32,490.93
  5. Step 5: Solve for x
    x = 32,490.93/185.38
  6. Step 6: Final answer
    x = 175.27

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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.