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Finding the Fourth Proportional to 185.56, 255.96 and 141.28

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Solution

The fourth proportional to 185.56, 255.96 and 141.28 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.56 : 255.96 = 141.28 : x
  2. Step 2: Convert to fraction form
    185.56/255.96 = 141.28/x
  3. Step 3: Cross multiply
    185.56x = 255.96 × 141.28
  4. Step 4: Simplify right side
    185.56x = 36,162.03
  5. Step 5: Solve for x
    x = 36,162.03/185.56
  6. Step 6: Final answer
    x = 194.88

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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.