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Finding the Fourth Proportional to 324.69, 486.87 and 108.19

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Solution

The fourth proportional to 324.69, 486.87 and 108.19 is: 162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.69 : 486.87 = 108.19 : x
  2. Step 2: Convert to fraction form
    324.69/486.87 = 108.19/x
  3. Step 3: Cross multiply
    324.69x = 486.87 × 108.19
  4. Step 4: Simplify right side
    324.69x = 52,674.47
  5. Step 5: Solve for x
    x = 52,674.47/324.69
  6. Step 6: Final answer
    x = 162.23

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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.