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Finding the Fourth Proportional to 185.22, 255.84 and 160.65

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Solution

The fourth proportional to 185.22, 255.84 and 160.65 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 255.84 = 160.65 : x
  2. Step 2: Convert to fraction form
    185.22/255.84 = 160.65/x
  3. Step 3: Cross multiply
    185.22x = 255.84 × 160.65
  4. Step 4: Simplify right side
    185.22x = 41,100.70
  5. Step 5: Solve for x
    x = 41,100.70/185.22
  6. Step 6: Final answer
    x = 221.90

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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.