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Finding the Fourth Proportional to 173.68, 239.52 and 163.24

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Solution

The fourth proportional to 173.68, 239.52 and 163.24 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 239.52 = 163.24 : x
  2. Step 2: Convert to fraction form
    173.68/239.52 = 163.24/x
  3. Step 3: Cross multiply
    173.68x = 239.52 × 163.24
  4. Step 4: Simplify right side
    173.68x = 39,099.24
  5. Step 5: Solve for x
    x = 39,099.24/173.68
  6. Step 6: Final answer
    x = 225.12

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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.