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Finding the Fourth Proportional to 338.89, 507.96 and 165.43

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Solution

The fourth proportional to 338.89, 507.96 and 165.43 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.89 : 507.96 = 165.43 : x
  2. Step 2: Convert to fraction form
    338.89/507.96 = 165.43/x
  3. Step 3: Cross multiply
    338.89x = 507.96 × 165.43
  4. Step 4: Simplify right side
    338.89x = 84,031.82
  5. Step 5: Solve for x
    x = 84,031.82/338.89
  6. Step 6: Final answer
    x = 247.96

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