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Finding the Fourth Proportional to 338, 507 and 110

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Solution

The fourth proportional to 338, 507 and 110 is: 165

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 507 = 110 : x
  2. Step 2: Convert to fraction form
    338/507 = 110/x
  3. Step 3: Cross multiply
    338x = 507 × 110
  4. Step 4: Simplify right side
    338x = 55,770
  5. Step 5: Solve for x
    x = 55,770/338
  6. Step 6: Final answer
    x = 165

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