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Finding the Fourth Proportional to 312.82, 431.70 and 181.83

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Solution

The fourth proportional to 312.82, 431.70 and 181.83 is: 250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 431.70 = 181.83 : x
  2. Step 2: Convert to fraction form
    312.82/431.70 = 181.83/x
  3. Step 3: Cross multiply
    312.82x = 431.70 × 181.83
  4. Step 4: Simplify right side
    312.82x = 78,496.95
  5. Step 5: Solve for x
    x = 78,496.95/312.82
  6. Step 6: Final answer
    x = 250.94

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