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Finding the Fourth Proportional to 208.63, 312.97 and 71.64

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Solution

The fourth proportional to 208.63, 312.97 and 71.64 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 312.97 = 71.64 : x
  2. Step 2: Convert to fraction form
    208.63/312.97 = 71.64/x
  3. Step 3: Cross multiply
    208.63x = 312.97 × 71.64
  4. Step 4: Simplify right side
    208.63x = 22,421.17
  5. Step 5: Solve for x
    x = 22,421.17/208.63
  6. Step 6: Final answer
    x = 107.47

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