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Finding the Fourth Proportional to 324.84, 487.38 and 142.22

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Solution

The fourth proportional to 324.84, 487.38 and 142.22 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 487.38 = 142.22 : x
  2. Step 2: Convert to fraction form
    324.84/487.38 = 142.22/x
  3. Step 3: Cross multiply
    324.84x = 487.38 × 142.22
  4. Step 4: Simplify right side
    324.84x = 69,316.94
  5. Step 5: Solve for x
    x = 69,316.94/324.84
  6. Step 6: Final answer
    x = 213.39

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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.