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Finding the Fourth Proportional to 185.57, 255.88 and 138.86

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Solution

The fourth proportional to 185.57, 255.88 and 138.86 is: 191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.57 : 255.88 = 138.86 : x
  2. Step 2: Convert to fraction form
    185.57/255.88 = 138.86/x
  3. Step 3: Cross multiply
    185.57x = 255.88 × 138.86
  4. Step 4: Simplify right side
    185.57x = 35,531.50
  5. Step 5: Solve for x
    x = 35,531.50/185.57
  6. Step 6: Final answer
    x = 191.47

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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.