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Finding the Fourth Proportional to 376.18, 518.96 and 226.74

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Solution

The fourth proportional to 376.18, 518.96 and 226.74 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.18 : 518.96 = 226.74 : x
  2. Step 2: Convert to fraction form
    376.18/518.96 = 226.74/x
  3. Step 3: Cross multiply
    376.18x = 518.96 × 226.74
  4. Step 4: Simplify right side
    376.18x = 117,668.99
  5. Step 5: Solve for x
    x = 117,668.99/376.18
  6. Step 6: Final answer
    x = 312.80

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