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Finding the Fourth Proportional to 338.82, 507.86 and 165.60

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Solution

The fourth proportional to 338.82, 507.86 and 165.60 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 507.86 = 165.60 : x
  2. Step 2: Convert to fraction form
    338.82/507.86 = 165.60/x
  3. Step 3: Cross multiply
    338.82x = 507.86 × 165.60
  4. Step 4: Simplify right side
    338.82x = 84,103.93
  5. Step 5: Solve for x
    x = 84,103.93/338.82
  6. Step 6: Final answer
    x = 248.23

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