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Finding the Fourth Proportional to 173.69, 239.63 and 108.17

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Solution

The fourth proportional to 173.69, 239.63 and 108.17 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.69 : 239.63 = 108.17 : x
  2. Step 2: Convert to fraction form
    173.69/239.63 = 108.17/x
  3. Step 3: Cross multiply
    173.69x = 239.63 × 108.17
  4. Step 4: Simplify right side
    173.69x = 25,919.04
  5. Step 5: Solve for x
    x = 25,919.04/173.69
  6. Step 6: Final answer
    x = 149.23

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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.