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Finding the Fourth Proportional to 324.62, 486.92 and 142.14

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Solution

The fourth proportional to 324.62, 486.92 and 142.14 is: 213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.62 : 486.92 = 142.14 : x
  2. Step 2: Convert to fraction form
    324.62/486.92 = 142.14/x
  3. Step 3: Cross multiply
    324.62x = 486.92 × 142.14
  4. Step 4: Simplify right side
    324.62x = 69,210.10
  5. Step 5: Solve for x
    x = 69,210.10/324.62
  6. Step 6: Final answer
    x = 213.21

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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.