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Finding the Fourth Proportional to 185.06, 255.42 and 115.13

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Solution

The fourth proportional to 185.06, 255.42 and 115.13 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.06 : 255.42 = 115.13 : x
  2. Step 2: Convert to fraction form
    185.06/255.42 = 115.13/x
  3. Step 3: Cross multiply
    185.06x = 255.42 × 115.13
  4. Step 4: Simplify right side
    185.06x = 29,405.23
  5. Step 5: Solve for x
    x = 29,405.23/185.06
  6. Step 6: Final answer
    x = 158.90

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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.