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Finding the Fourth Proportional to 163.82, 243.73 and 163.19

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Solution

The fourth proportional to 163.82, 243.73 and 163.19 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 243.73 = 163.19 : x
  2. Step 2: Convert to fraction form
    163.82/243.73 = 163.19/x
  3. Step 3: Cross multiply
    163.82x = 243.73 × 163.19
  4. Step 4: Simplify right side
    163.82x = 39,774.30
  5. Step 5: Solve for x
    x = 39,774.30/163.82
  6. Step 6: Final answer
    x = 242.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.