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Finding the Fourth Proportional to 209.01, 313.40 and 165.95

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Solution

The fourth proportional to 209.01, 313.40 and 165.95 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 313.40 = 165.95 : x
  2. Step 2: Convert to fraction form
    209.01/313.40 = 165.95/x
  3. Step 3: Cross multiply
    209.01x = 313.40 × 165.95
  4. Step 4: Simplify right side
    209.01x = 52,010.52
  5. Step 5: Solve for x
    x = 52,010.52/209.01
  6. Step 6: Final answer
    x = 248.84

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