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Finding the Fourth Proportional to 185.77, 256.35 and 108.13

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Solution

The fourth proportional to 185.77, 256.35 and 108.13 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 256.35 = 108.13 : x
  2. Step 2: Convert to fraction form
    185.77/256.35 = 108.13/x
  3. Step 3: Cross multiply
    185.77x = 256.35 × 108.13
  4. Step 4: Simplify right side
    185.77x = 27,718.58
  5. Step 5: Solve for x
    x = 27,718.58/185.77
  6. Step 6: Final answer
    x = 149.21

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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.