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Finding the Fourth Proportional to 225.92, 339.10 and 117.78

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Solution

The fourth proportional to 225.92, 339.10 and 117.78 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 339.10 = 117.78 : x
  2. Step 2: Convert to fraction form
    225.92/339.10 = 117.78/x
  3. Step 3: Cross multiply
    225.92x = 339.10 × 117.78
  4. Step 4: Simplify right side
    225.92x = 39,939.20
  5. Step 5: Solve for x
    x = 39,939.20/225.92
  6. Step 6: Final answer
    x = 176.78

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