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Finding the Fourth Proportional to 381.83, 572.81 and 138.35

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Solution

The fourth proportional to 381.83, 572.81 and 138.35 is: 207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.83 : 572.81 = 138.35 : x
  2. Step 2: Convert to fraction form
    381.83/572.81 = 138.35/x
  3. Step 3: Cross multiply
    381.83x = 572.81 × 138.35
  4. Step 4: Simplify right side
    381.83x = 79,244.71
  5. Step 5: Solve for x
    x = 79,244.71/381.83
  6. Step 6: Final answer
    x = 207.54

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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.