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Finding the Fourth Proportional to 254.79, 380.22 and 227.45

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Solution

The fourth proportional to 254.79, 380.22 and 227.45 is: 339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.79 : 380.22 = 227.45 : x
  2. Step 2: Convert to fraction form
    254.79/380.22 = 227.45/x
  3. Step 3: Cross multiply
    254.79x = 380.22 × 227.45
  4. Step 4: Simplify right side
    254.79x = 86,479.14
  5. Step 5: Solve for x
    x = 86,479.14/254.79
  6. Step 6: Final answer
    x = 339.41

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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.