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Finding the Fourth Proportional to 381.97, 573.02 and 138.43

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Solution

The fourth proportional to 381.97, 573.02 and 138.43 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.97 : 573.02 = 138.43 : x
  2. Step 2: Convert to fraction form
    381.97/573.02 = 138.43/x
  3. Step 3: Cross multiply
    381.97x = 573.02 × 138.43
  4. Step 4: Simplify right side
    381.97x = 79,323.16
  5. Step 5: Solve for x
    x = 79,323.16/381.97
  6. Step 6: Final answer
    x = 207.67

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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.