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Finding the Fourth Proportional to 208.92, 313.36 and 54.84

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Solution

The fourth proportional to 208.92, 313.36 and 54.84 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 313.36 = 54.84 : x
  2. Step 2: Convert to fraction form
    208.92/313.36 = 54.84/x
  3. Step 3: Cross multiply
    208.92x = 313.36 × 54.84
  4. Step 4: Simplify right side
    208.92x = 17,184.53
  5. Step 5: Solve for x
    x = 17,184.53/208.92
  6. Step 6: Final answer
    x = 82.25

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