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Finding the Fourth Proportional to 185.64, 255.96 and 120.12

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Solution

The fourth proportional to 185.64, 255.96 and 120.12 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.64 : 255.96 = 120.12 : x
  2. Step 2: Convert to fraction form
    185.64/255.96 = 120.12/x
  3. Step 3: Cross multiply
    185.64x = 255.96 × 120.12
  4. Step 4: Simplify right side
    185.64x = 30,745.92
  5. Step 5: Solve for x
    x = 30,745.92/185.64
  6. Step 6: Final answer
    x = 165.62

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Why These Related Problems?

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