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Finding the Fourth Proportional to 225.78, 338.37 and 117.55

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Solution

The fourth proportional to 225.78, 338.37 and 117.55 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 338.37 = 117.55 : x
  2. Step 2: Convert to fraction form
    225.78/338.37 = 117.55/x
  3. Step 3: Cross multiply
    225.78x = 338.37 × 117.55
  4. Step 4: Simplify right side
    225.78x = 39,775.39
  5. Step 5: Solve for x
    x = 39,775.39/225.78
  6. Step 6: Final answer
    x = 176.17

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