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Finding the Fourth Proportional to 392.03, 541.07 and 226.22

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Solution

The fourth proportional to 392.03, 541.07 and 226.22 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.03 : 541.07 = 226.22 : x
  2. Step 2: Convert to fraction form
    392.03/541.07 = 226.22/x
  3. Step 3: Cross multiply
    392.03x = 541.07 × 226.22
  4. Step 4: Simplify right side
    392.03x = 122,397.02
  5. Step 5: Solve for x
    x = 122,397.02/392.03
  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.