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Finding the Fourth Proportional to 185.29, 255.69 and 102.39

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Solution

The fourth proportional to 185.29, 255.69 and 102.39 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 255.69 = 102.39 : x
  2. Step 2: Convert to fraction form
    185.29/255.69 = 102.39/x
  3. Step 3: Cross multiply
    185.29x = 255.69 × 102.39
  4. Step 4: Simplify right side
    185.29x = 26,179.14
  5. Step 5: Solve for x
    x = 26,179.14/185.29
  6. Step 6: Final answer
    x = 141.29

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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.