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Finding the Fourth Proportional to 381.69, 572.61 and 186.78

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Solution

The fourth proportional to 381.69, 572.61 and 186.78 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.61 = 186.78 : x
  2. Step 2: Convert to fraction form
    381.69/572.61 = 186.78/x
  3. Step 3: Cross multiply
    381.69x = 572.61 × 186.78
  4. Step 4: Simplify right side
    381.69x = 106,952.10
  5. Step 5: Solve for x
    x = 106,952.10/381.69
  6. Step 6: Final answer
    x = 280.21

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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.