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Finding the Fourth Proportional to 182.25, 273.78 and 169.29

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Solution

The fourth proportional to 182.25, 273.78 and 169.29 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 273.78 = 169.29 : x
  2. Step 2: Convert to fraction form
    182.25/273.78 = 169.29/x
  3. Step 3: Cross multiply
    182.25x = 273.78 × 169.29
  4. Step 4: Simplify right side
    182.25x = 46,348.22
  5. Step 5: Solve for x
    x = 46,348.22/182.25
  6. Step 6: Final answer
    x = 254.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.