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Finding the Fourth Proportional to 255.28, 381.08 and 226.36

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Solution

The fourth proportional to 255.28, 381.08 and 226.36 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.28 : 381.08 = 226.36 : x
  2. Step 2: Convert to fraction form
    255.28/381.08 = 226.36/x
  3. Step 3: Cross multiply
    255.28x = 381.08 × 226.36
  4. Step 4: Simplify right side
    255.28x = 86,261.27
  5. Step 5: Solve for x
    x = 86,261.27/255.28
  6. Step 6: Final answer
    x = 337.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.