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Finding the Fourth Proportional to 324.08, 486.16 and 131.84

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Solution

The fourth proportional to 324.08, 486.16 and 131.84 is: 197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 486.16 = 131.84 : x
  2. Step 2: Convert to fraction form
    324.08/486.16 = 131.84/x
  3. Step 3: Cross multiply
    324.08x = 486.16 × 131.84
  4. Step 4: Simplify right side
    324.08x = 64,095.33
  5. Step 5: Solve for x
    x = 64,095.33/324.08
  6. Step 6: Final answer
    x = 197.78

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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.