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Finding the Fourth Proportional to 163.87, 224.67 and 160.94

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Solution

The fourth proportional to 163.87, 224.67 and 160.94 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.87 : 224.67 = 160.94 : x
  2. Step 2: Convert to fraction form
    163.87/224.67 = 160.94/x
  3. Step 3: Cross multiply
    163.87x = 224.67 × 160.94
  4. Step 4: Simplify right side
    163.87x = 36,158.09
  5. Step 5: Solve for x
    x = 36,158.09/163.87
  6. Step 6: Final answer
    x = 220.66

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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.