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Finding the Fourth Proportional to 392.06, 541.07 and 226.23

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Solution

The fourth proportional to 392.06, 541.07 and 226.23 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 541.07 = 226.23 : x
  2. Step 2: Convert to fraction form
    392.06/541.07 = 226.23/x
  3. Step 3: Cross multiply
    392.06x = 541.07 × 226.23
  4. Step 4: Simplify right side
    392.06x = 122,405.13
  5. Step 5: Solve for x
    x = 122,405.13/392.06
  6. Step 6: Final answer
    x = 312.21

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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.