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Finding the Fourth Proportional to 225.92, 311.78 and 137.43

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Solution

The fourth proportional to 225.92, 311.78 and 137.43 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 311.78 = 137.43 : x
  2. Step 2: Convert to fraction form
    225.92/311.78 = 137.43/x
  3. Step 3: Cross multiply
    225.92x = 311.78 × 137.43
  4. Step 4: Simplify right side
    225.92x = 42,848.27
  5. Step 5: Solve for x
    x = 42,848.27/225.92
  6. Step 6: Final answer
    x = 189.66

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