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Finding the Fourth Proportional to 376.14, 519.10 and 218.82

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Solution

The fourth proportional to 376.14, 519.10 and 218.82 is: 301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 519.10 = 218.82 : x
  2. Step 2: Convert to fraction form
    376.14/519.10 = 218.82/x
  3. Step 3: Cross multiply
    376.14x = 519.10 × 218.82
  4. Step 4: Simplify right side
    376.14x = 113,589.46
  5. Step 5: Solve for x
    x = 113,589.46/376.14
  6. Step 6: Final answer
    x = 301.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.