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Finding the Fourth Proportional to 185.15, 255.49 and 126.02

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Solution

The fourth proportional to 185.15, 255.49 and 126.02 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.15 : 255.49 = 126.02 : x
  2. Step 2: Convert to fraction form
    185.15/255.49 = 126.02/x
  3. Step 3: Cross multiply
    185.15x = 255.49 × 126.02
  4. Step 4: Simplify right side
    185.15x = 32,197.17
  5. Step 5: Solve for x
    x = 32,197.17/185.15
  6. Step 6: Final answer
    x = 173.90

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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.