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Finding the Fourth Proportional to 338, 506.64 and 201.08

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Solution

The fourth proportional to 338, 506.64 and 201.08 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 506.64 = 201.08 : x
  2. Step 2: Convert to fraction form
    338/506.64 = 201.08/x
  3. Step 3: Cross multiply
    338x = 506.64 × 201.08
  4. Step 4: Simplify right side
    338x = 101,875.17
  5. Step 5: Solve for x
    x = 101,875.17/338
  6. Step 6: Final answer
    x = 301.41

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