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Finding the Fourth Proportional to 376.20, 519.16 and 218.84

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Solution

The fourth proportional to 376.20, 519.16 and 218.84 is: 302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.20 : 519.16 = 218.84 : x
  2. Step 2: Convert to fraction form
    376.20/519.16 = 218.84/x
  3. Step 3: Cross multiply
    376.20x = 519.16 × 218.84
  4. Step 4: Simplify right side
    376.20x = 113,612.97
  5. Step 5: Solve for x
    x = 113,612.97/376.20
  6. Step 6: Final answer
    x = 302.00

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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.