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Finding the Fourth Proportional to 324.16, 485.84 and 161.44

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Solution

The fourth proportional to 324.16, 485.84 and 161.44 is: 241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 485.84 = 161.44 : x
  2. Step 2: Convert to fraction form
    324.16/485.84 = 161.44/x
  3. Step 3: Cross multiply
    324.16x = 485.84 × 161.44
  4. Step 4: Simplify right side
    324.16x = 78,434.01
  5. Step 5: Solve for x
    x = 78,434.01/324.16
  6. Step 6: Final answer
    x = 241.96

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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.