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Finding the Fourth Proportional to 213.69, 295.11 and 163.14

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Solution

The fourth proportional to 213.69, 295.11 and 163.14 is: 225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 295.11 = 163.14 : x
  2. Step 2: Convert to fraction form
    213.69/295.11 = 163.14/x
  3. Step 3: Cross multiply
    213.69x = 295.11 × 163.14
  4. Step 4: Simplify right side
    213.69x = 48,143.14
  5. Step 5: Solve for x
    x = 48,143.14/213.69
  6. Step 6: Final answer
    x = 225.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.