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Finding the Fourth Proportional to 185.94, 256.46 and 115.97

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Solution

The fourth proportional to 185.94, 256.46 and 115.97 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 256.46 = 115.97 : x
  2. Step 2: Convert to fraction form
    185.94/256.46 = 115.97/x
  3. Step 3: Cross multiply
    185.94x = 256.46 × 115.97
  4. Step 4: Simplify right side
    185.94x = 29,739.80
  5. Step 5: Solve for x
    x = 29,739.80/185.94
  6. Step 6: Final answer
    x = 159.94

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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.