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Finding the Fourth Proportional to 208.60, 288 and 164.80

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Solution

The fourth proportional to 208.60, 288 and 164.80 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.60 : 288 = 164.80 : x
  2. Step 2: Convert to fraction form
    208.60/288 = 164.80/x
  3. Step 3: Cross multiply
    208.60x = 288 × 164.80
  4. Step 4: Simplify right side
    208.60x = 47,462.40
  5. Step 5: Solve for x
    x = 47,462.40/208.60
  6. Step 6: Final answer
    x = 227.53

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