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Finding the Fourth Proportional to 185.92, 256.53 and 112.22

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Solution

The fourth proportional to 185.92, 256.53 and 112.22 is: 154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 256.53 = 112.22 : x
  2. Step 2: Convert to fraction form
    185.92/256.53 = 112.22/x
  3. Step 3: Cross multiply
    185.92x = 256.53 × 112.22
  4. Step 4: Simplify right side
    185.92x = 28,787.90
  5. Step 5: Solve for x
    x = 28,787.90/185.92
  6. Step 6: Final answer
    x = 154.84

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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.