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Finding the Fourth Proportional to 376.10, 518.82 and 224.60

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Solution

The fourth proportional to 376.10, 518.82 and 224.60 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.10 : 518.82 = 224.60 : x
  2. Step 2: Convert to fraction form
    376.10/518.82 = 224.60/x
  3. Step 3: Cross multiply
    376.10x = 518.82 × 224.60
  4. Step 4: Simplify right side
    376.10x = 116,526.97
  5. Step 5: Solve for x
    x = 116,526.97/376.10
  6. Step 6: Final answer
    x = 309.83

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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.