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Finding the Fourth Proportional to 322.09, 482.49 and 165.92

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Solution

The fourth proportional to 322.09, 482.49 and 165.92 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.09 : 482.49 = 165.92 : x
  2. Step 2: Convert to fraction form
    322.09/482.49 = 165.92/x
  3. Step 3: Cross multiply
    322.09x = 482.49 × 165.92
  4. Step 4: Simplify right side
    322.09x = 80,052.33
  5. Step 5: Solve for x
    x = 80,052.33/322.09
  6. Step 6: Final answer
    x = 248.54

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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.