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Finding the Fourth Proportional to 201.88, 278.00 and 166.65

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Solution

The fourth proportional to 201.88, 278.00 and 166.65 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 278.00 = 166.65 : x
  2. Step 2: Convert to fraction form
    201.88/278.00 = 166.65/x
  3. Step 3: Cross multiply
    201.88x = 278.00 × 166.65
  4. Step 4: Simplify right side
    201.88x = 46,326.48
  5. Step 5: Solve for x
    x = 46,326.48/201.88
  6. Step 6: Final answer
    x = 229.48

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