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Finding the Fourth Proportional to 324.25, 485.44 and 169.81

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Solution

The fourth proportional to 324.25, 485.44 and 169.81 is: 254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 485.44 = 169.81 : x
  2. Step 2: Convert to fraction form
    324.25/485.44 = 169.81/x
  3. Step 3: Cross multiply
    324.25x = 485.44 × 169.81
  4. Step 4: Simplify right side
    324.25x = 82,432.57
  5. Step 5: Solve for x
    x = 82,432.57/324.25
  6. Step 6: Final answer
    x = 254.23

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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.