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Finding the Fourth Proportional to 392.06, 540.97 and 226.24

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Solution

The fourth proportional to 392.06, 540.97 and 226.24 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 540.97 = 226.24 : x
  2. Step 2: Convert to fraction form
    392.06/540.97 = 226.24/x
  3. Step 3: Cross multiply
    392.06x = 540.97 × 226.24
  4. Step 4: Simplify right side
    392.06x = 122,387.13
  5. Step 5: Solve for x
    x = 122,387.13/392.06
  6. Step 6: Final answer
    x = 312.16

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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.