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Finding the Fourth Proportional to 392.02, 541.01 and 226.17

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Solution

The fourth proportional to 392.02, 541.01 and 226.17 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 541.01 = 226.17 : x
  2. Step 2: Convert to fraction form
    392.02/541.01 = 226.17/x
  3. Step 3: Cross multiply
    392.02x = 541.01 × 226.17
  4. Step 4: Simplify right side
    392.02x = 122,360.80
  5. Step 5: Solve for x
    x = 122,360.80/392.02
  6. Step 6: Final answer
    x = 312.13

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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.