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Finding the Fourth Proportional to 163.97, 246.45 and 110.21

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Solution

The fourth proportional to 163.97, 246.45 and 110.21 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 246.45 = 110.21 : x
  2. Step 2: Convert to fraction form
    163.97/246.45 = 110.21/x
  3. Step 3: Cross multiply
    163.97x = 246.45 × 110.21
  4. Step 4: Simplify right side
    163.97x = 27,160.02
  5. Step 5: Solve for x
    x = 27,160.02/163.97
  6. Step 6: Final answer
    x = 165.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.