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Finding the Fourth Proportional to 185.27, 255.66 and 102.37

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Solution

The fourth proportional to 185.27, 255.66 and 102.37 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.27 : 255.66 = 102.37 : x
  2. Step 2: Convert to fraction form
    185.27/255.66 = 102.37/x
  3. Step 3: Cross multiply
    185.27x = 255.66 × 102.37
  4. Step 4: Simplify right side
    185.27x = 26,171.39
  5. Step 5: Solve for x
    x = 26,171.39/185.27
  6. Step 6: Final answer
    x = 141.26

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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.