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Finding the Fourth Proportional to 180.85, 270.05 and 169.96

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Solution

The fourth proportional to 180.85, 270.05 and 169.96 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 270.05 = 169.96 : x
  2. Step 2: Convert to fraction form
    180.85/270.05 = 169.96/x
  3. Step 3: Cross multiply
    180.85x = 270.05 × 169.96
  4. Step 4: Simplify right side
    180.85x = 45,896.85
  5. Step 5: Solve for x
    x = 45,896.85/180.85
  6. Step 6: Final answer
    x = 253.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.