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Finding the Fourth Proportional to 208.02, 286.89 and 178.79

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Solution

The fourth proportional to 208.02, 286.89 and 178.79 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 286.89 = 178.79 : x
  2. Step 2: Convert to fraction form
    208.02/286.89 = 178.79/x
  3. Step 3: Cross multiply
    208.02x = 286.89 × 178.79
  4. Step 4: Simplify right side
    208.02x = 51,293.58
  5. Step 5: Solve for x
    x = 51,293.58/208.02
  6. Step 6: Final answer
    x = 246.58

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