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Finding the Fourth Proportional to 392.00, 540.95 and 226.21

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Solution

The fourth proportional to 392.00, 540.95 and 226.21 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.00 : 540.95 = 226.21 : x
  2. Step 2: Convert to fraction form
    392.00/540.95 = 226.21/x
  3. Step 3: Cross multiply
    392.00x = 540.95 × 226.21
  4. Step 4: Simplify right side
    392.00x = 122,365.82
  5. Step 5: Solve for x
    x = 122,365.82/392.00
  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.