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Finding the Fourth Proportional to 173.37, 238.95 and 142.05

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Solution

The fourth proportional to 173.37, 238.95 and 142.05 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.37 : 238.95 = 142.05 : x
  2. Step 2: Convert to fraction form
    173.37/238.95 = 142.05/x
  3. Step 3: Cross multiply
    173.37x = 238.95 × 142.05
  4. Step 4: Simplify right side
    173.37x = 33,942.85
  5. Step 5: Solve for x
    x = 33,942.85/173.37
  6. Step 6: Final answer
    x = 195.78

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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.