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Finding the Fourth Proportional to 381.69, 572.49 and 165.09

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Solution

The fourth proportional to 381.69, 572.49 and 165.09 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.49 = 165.09 : x
  2. Step 2: Convert to fraction form
    381.69/572.49 = 165.09/x
  3. Step 3: Cross multiply
    381.69x = 572.49 × 165.09
  4. Step 4: Simplify right side
    381.69x = 94,512.37
  5. Step 5: Solve for x
    x = 94,512.37/381.69
  6. Step 6: Final answer
    x = 247.62

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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.