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Finding the Fourth Proportional to 392.11, 540.98 and 226.26

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Solution

The fourth proportional to 392.11, 540.98 and 226.26 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 540.98 = 226.26 : x
  2. Step 2: Convert to fraction form
    392.11/540.98 = 226.26/x
  3. Step 3: Cross multiply
    392.11x = 540.98 × 226.26
  4. Step 4: Simplify right side
    392.11x = 122,402.13
  5. Step 5: Solve for x
    x = 122,402.13/392.11
  6. Step 6: Final answer
    x = 312.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.