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Finding the Fourth Proportional to 173.26, 239.21 and 107.83

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Solution

The fourth proportional to 173.26, 239.21 and 107.83 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 239.21 = 107.83 : x
  2. Step 2: Convert to fraction form
    173.26/239.21 = 107.83/x
  3. Step 3: Cross multiply
    173.26x = 239.21 × 107.83
  4. Step 4: Simplify right side
    173.26x = 25,794.01
  5. Step 5: Solve for x
    x = 25,794.01/173.26
  6. Step 6: Final answer
    x = 148.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.