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Finding the Fourth Proportional to 254.28, 378.87 and 227.00

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Solution

The fourth proportional to 254.28, 378.87 and 227.00 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 378.87 = 227.00 : x
  2. Step 2: Convert to fraction form
    254.28/378.87 = 227.00/x
  3. Step 3: Cross multiply
    254.28x = 378.87 × 227.00
  4. Step 4: Simplify right side
    254.28x = 86,002.45
  5. Step 5: Solve for x
    x = 86,002.45/254.28
  6. Step 6: Final answer
    x = 338.22

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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.