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Finding the Fourth Proportional to 185.14, 255.49 and 102.25

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Solution

The fourth proportional to 185.14, 255.49 and 102.25 is: 141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 255.49 = 102.25 : x
  2. Step 2: Convert to fraction form
    185.14/255.49 = 102.25/x
  3. Step 3: Cross multiply
    185.14x = 255.49 × 102.25
  4. Step 4: Simplify right side
    185.14x = 26,123.85
  5. Step 5: Solve for x
    x = 26,123.85/185.14
  6. Step 6: Final answer
    x = 141.10

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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.