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Finding the Fourth Proportional to 185.97, 256.65 and 112.25

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Solution

The fourth proportional to 185.97, 256.65 and 112.25 is: 154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.97 : 256.65 = 112.25 : x
  2. Step 2: Convert to fraction form
    185.97/256.65 = 112.25/x
  3. Step 3: Cross multiply
    185.97x = 256.65 × 112.25
  4. Step 4: Simplify right side
    185.97x = 28,807.68
  5. Step 5: Solve for x
    x = 28,807.68/185.97
  6. Step 6: Final answer
    x = 154.90

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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.