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Finding the Fourth Proportional to 185.98, 256.66 and 116.08

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Solution

The fourth proportional to 185.98, 256.66 and 116.08 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 256.66 = 116.08 : x
  2. Step 2: Convert to fraction form
    185.98/256.66 = 116.08/x
  3. Step 3: Cross multiply
    185.98x = 256.66 × 116.08
  4. Step 4: Simplify right side
    185.98x = 29,793.09
  5. Step 5: Solve for x
    x = 29,793.09/185.98
  6. Step 6: Final answer
    x = 160.20

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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.