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Finding the Fourth Proportional to 185.89, 256.54 and 108.27

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Solution

The fourth proportional to 185.89, 256.54 and 108.27 is: 149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.89 : 256.54 = 108.27 : x
  2. Step 2: Convert to fraction form
    185.89/256.54 = 108.27/x
  3. Step 3: Cross multiply
    185.89x = 256.54 × 108.27
  4. Step 4: Simplify right side
    185.89x = 27,774.30
  5. Step 5: Solve for x
    x = 27,774.30/185.89
  6. Step 6: Final answer
    x = 149.41

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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.