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Finding the Fourth Proportional to 392.08, 540.92 and 226.23

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Solution

The fourth proportional to 392.08, 540.92 and 226.23 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 540.92 = 226.23 : x
  2. Step 2: Convert to fraction form
    392.08/540.92 = 226.23/x
  3. Step 3: Cross multiply
    392.08x = 540.92 × 226.23
  4. Step 4: Simplify right side
    392.08x = 122,372.90
  5. Step 5: Solve for x
    x = 122,372.90/392.08
  6. Step 6: Final answer
    x = 312.11

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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.