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Finding the Fourth Proportional to 381.99, 572.97 and 138.33

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Solution

The fourth proportional to 381.99, 572.97 and 138.33 is: 207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 572.97 = 138.33 : x
  2. Step 2: Convert to fraction form
    381.99/572.97 = 138.33/x
  3. Step 3: Cross multiply
    381.99x = 572.97 × 138.33
  4. Step 4: Simplify right side
    381.99x = 79,258.94
  5. Step 5: Solve for x
    x = 79,258.94/381.99
  6. Step 6: Final answer
    x = 207.49

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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.