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Finding the Fourth Proportional to 381.18, 570.99 and 226.65

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Solution

The fourth proportional to 381.18, 570.99 and 226.65 is: 339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 570.99 = 226.65 : x
  2. Step 2: Convert to fraction form
    381.18/570.99 = 226.65/x
  3. Step 3: Cross multiply
    381.18x = 570.99 × 226.65
  4. Step 4: Simplify right side
    381.18x = 129,414.88
  5. Step 5: Solve for x
    x = 129,414.88/381.18
  6. Step 6: Final answer
    x = 339.51

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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.