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Finding the Fourth Proportional to 381.73, 572.83 and 138.28

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Solution

The fourth proportional to 381.73, 572.83 and 138.28 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 572.83 = 138.28 : x
  2. Step 2: Convert to fraction form
    381.73/572.83 = 138.28/x
  3. Step 3: Cross multiply
    381.73x = 572.83 × 138.28
  4. Step 4: Simplify right side
    381.73x = 79,210.93
  5. Step 5: Solve for x
    x = 79,210.93/381.73
  6. Step 6: Final answer
    x = 207.51

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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.