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Finding the Fourth Proportional to 392.12, 541.13 and 226.34

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Solution

The fourth proportional to 392.12, 541.13 and 226.34 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 541.13 = 226.34 : x
  2. Step 2: Convert to fraction form
    392.12/541.13 = 226.34/x
  3. Step 3: Cross multiply
    392.12x = 541.13 × 226.34
  4. Step 4: Simplify right side
    392.12x = 122,479.59
  5. Step 5: Solve for x
    x = 122,479.59/392.12
  6. Step 6: Final answer
    x = 312.36

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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.