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Finding the Fourth Proportional to 445.16, 667.26 and 225.95

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Solution

The fourth proportional to 445.16, 667.26 and 225.95 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.16 : 667.26 = 225.95 : x
  2. Step 2: Convert to fraction form
    445.16/667.26 = 225.95/x
  3. Step 3: Cross multiply
    445.16x = 667.26 × 225.95
  4. Step 4: Simplify right side
    445.16x = 150,767.41
  5. Step 5: Solve for x
    x = 150,767.41/445.16
  6. Step 6: Final answer
    x = 338.68

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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.