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Finding the Fourth Proportional to 163.24, 224.58 and 142.44

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Solution

The fourth proportional to 163.24, 224.58 and 142.44 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.24 : 224.58 = 142.44 : x
  2. Step 2: Convert to fraction form
    163.24/224.58 = 142.44/x
  3. Step 3: Cross multiply
    163.24x = 224.58 × 142.44
  4. Step 4: Simplify right side
    163.24x = 31,989.18
  5. Step 5: Solve for x
    x = 31,989.18/163.24
  6. Step 6: Final answer
    x = 195.96

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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.