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Finding the Fourth Proportional to 185.75, 256.34 and 108.13

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Solution

The fourth proportional to 185.75, 256.34 and 108.13 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.75 : 256.34 = 108.13 : x
  2. Step 2: Convert to fraction form
    185.75/256.34 = 108.13/x
  3. Step 3: Cross multiply
    185.75x = 256.34 × 108.13
  4. Step 4: Simplify right side
    185.75x = 27,718.04
  5. Step 5: Solve for x
    x = 27,718.04/185.75
  6. Step 6: Final answer
    x = 149.22

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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.