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Finding the Fourth Proportional to 163.58, 224.46 and 161.96

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Solution

The fourth proportional to 163.58, 224.46 and 161.96 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.58 : 224.46 = 161.96 : x
  2. Step 2: Convert to fraction form
    163.58/224.46 = 161.96/x
  3. Step 3: Cross multiply
    163.58x = 224.46 × 161.96
  4. Step 4: Simplify right side
    163.58x = 36,353.54
  5. Step 5: Solve for x
    x = 36,353.54/163.58
  6. Step 6: Final answer
    x = 222.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.