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Finding the Fourth Proportional to 381.41, 572.09 and 186.47

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Solution

The fourth proportional to 381.41, 572.09 and 186.47 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.41 : 572.09 = 186.47 : x
  2. Step 2: Convert to fraction form
    381.41/572.09 = 186.47/x
  3. Step 3: Cross multiply
    381.41x = 572.09 × 186.47
  4. Step 4: Simplify right side
    381.41x = 106,676.69
  5. Step 5: Solve for x
    x = 106,676.69/381.41
  6. Step 6: Final answer
    x = 279.69

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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.