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Finding the Fourth Proportional to 185.42, 255.78 and 119.85

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Solution

The fourth proportional to 185.42, 255.78 and 119.85 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.78 = 119.85 : x
  2. Step 2: Convert to fraction form
    185.42/255.78 = 119.85/x
  3. Step 3: Cross multiply
    185.42x = 255.78 × 119.85
  4. Step 4: Simplify right side
    185.42x = 30,655.23
  5. Step 5: Solve for x
    x = 30,655.23/185.42
  6. Step 6: Final answer
    x = 165.33

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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.