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Finding the Fourth Proportional to 226.76, 312.98 and 149.14

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Solution

The fourth proportional to 226.76, 312.98 and 149.14 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 312.98 = 149.14 : x
  2. Step 2: Convert to fraction form
    226.76/312.98 = 149.14/x
  3. Step 3: Cross multiply
    226.76x = 312.98 × 149.14
  4. Step 4: Simplify right side
    226.76x = 46,677.84
  5. Step 5: Solve for x
    x = 46,677.84/226.76
  6. Step 6: Final answer
    x = 205.85

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