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Finding the Fourth Proportional to 225.86, 338.31 and 206.55

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Solution

The fourth proportional to 225.86, 338.31 and 206.55 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.86 : 338.31 = 206.55 : x
  2. Step 2: Convert to fraction form
    225.86/338.31 = 206.55/x
  3. Step 3: Cross multiply
    225.86x = 338.31 × 206.55
  4. Step 4: Simplify right side
    225.86x = 69,877.93
  5. Step 5: Solve for x
    x = 69,877.93/225.86
  6. Step 6: Final answer
    x = 309.39

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