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Finding the Fourth Proportional to 163.21, 224.97 and 144.70

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Solution

The fourth proportional to 163.21, 224.97 and 144.70 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.21 : 224.97 = 144.70 : x
  2. Step 2: Convert to fraction form
    163.21/224.97 = 144.70/x
  3. Step 3: Cross multiply
    163.21x = 224.97 × 144.70
  4. Step 4: Simplify right side
    163.21x = 32,553.16
  5. Step 5: Solve for x
    x = 32,553.16/163.21
  6. Step 6: Final answer
    x = 199.46

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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.