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Finding the Fourth Proportional to 324.22, 486.32 and 107.80

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Solution

The fourth proportional to 324.22, 486.32 and 107.80 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.22 : 486.32 = 107.80 : x
  2. Step 2: Convert to fraction form
    324.22/486.32 = 107.80/x
  3. Step 3: Cross multiply
    324.22x = 486.32 × 107.80
  4. Step 4: Simplify right side
    324.22x = 52,423.13
  5. Step 5: Solve for x
    x = 52,423.13/324.22
  6. Step 6: Final answer
    x = 161.69

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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.