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Finding the Fourth Proportional to 185.39, 278.18 and 112.28

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Solution

The fourth proportional to 185.39, 278.18 and 112.28 is: 168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.39 : 278.18 = 112.28 : x
  2. Step 2: Convert to fraction form
    185.39/278.18 = 112.28/x
  3. Step 3: Cross multiply
    185.39x = 278.18 × 112.28
  4. Step 4: Simplify right side
    185.39x = 31,232.10
  5. Step 5: Solve for x
    x = 31,232.10/185.39
  6. Step 6: Final answer
    x = 168.47

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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.