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Finding the Fourth Proportional to 185.28, 255.72 and 119.96

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Solution

The fourth proportional to 185.28, 255.72 and 119.96 is: 165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 255.72 = 119.96 : x
  2. Step 2: Convert to fraction form
    185.28/255.72 = 119.96/x
  3. Step 3: Cross multiply
    185.28x = 255.72 × 119.96
  4. Step 4: Simplify right side
    185.28x = 30,676.17
  5. Step 5: Solve for x
    x = 30,676.17/185.28
  6. Step 6: Final answer
    x = 165.57

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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.