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Finding the Fourth Proportional to 208.76, 313.05 and 111.24

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Solution

The fourth proportional to 208.76, 313.05 and 111.24 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.76 : 313.05 = 111.24 : x
  2. Step 2: Convert to fraction form
    208.76/313.05 = 111.24/x
  3. Step 3: Cross multiply
    208.76x = 313.05 × 111.24
  4. Step 4: Simplify right side
    208.76x = 34,823.47
  5. Step 5: Solve for x
    x = 34,823.47/208.76
  6. Step 6: Final answer
    x = 166.81

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