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Finding the Fourth Proportional to 185.44, 256.08 and 116.56

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Solution

The fourth proportional to 185.44, 256.08 and 116.56 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.44 : 256.08 = 116.56 : x
  2. Step 2: Convert to fraction form
    185.44/256.08 = 116.56/x
  3. Step 3: Cross multiply
    185.44x = 256.08 × 116.56
  4. Step 4: Simplify right side
    185.44x = 29,848.68
  5. Step 5: Solve for x
    x = 29,848.68/185.44
  6. Step 6: Final answer
    x = 160.96

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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.