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Finding the Fourth Proportional to 185.85, 256.41 and 112.16

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Solution

The fourth proportional to 185.85, 256.41 and 112.16 is: 154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 256.41 = 112.16 : x
  2. Step 2: Convert to fraction form
    185.85/256.41 = 112.16/x
  3. Step 3: Cross multiply
    185.85x = 256.41 × 112.16
  4. Step 4: Simplify right side
    185.85x = 28,760.01
  5. Step 5: Solve for x
    x = 28,760.01/185.85
  6. Step 6: Final answer
    x = 154.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.