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Finding the Fourth Proportional to 208, 286.68 and 186.22

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Solution

The fourth proportional to 208, 286.68 and 186.22 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 286.68 = 186.22 : x
  2. Step 2: Convert to fraction form
    208/286.68 = 186.22/x
  3. Step 3: Cross multiply
    208x = 286.68 × 186.22
  4. Step 4: Simplify right side
    208x = 53,385.55
  5. Step 5: Solve for x
    x = 53,385.55/208
  6. Step 6: Final answer
    x = 256.66

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