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Finding the Fourth Proportional to 392.11, 541.12 and 226.33

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Solution

The fourth proportional to 392.11, 541.12 and 226.33 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 541.12 = 226.33 : x
  2. Step 2: Convert to fraction form
    392.11/541.12 = 226.33/x
  3. Step 3: Cross multiply
    392.11x = 541.12 × 226.33
  4. Step 4: Simplify right side
    392.11x = 122,471.69
  5. Step 5: Solve for x
    x = 122,471.69/392.11
  6. Step 6: Final answer
    x = 312.34

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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.