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Finding the Fourth Proportional to 173.23, 238.95 and 107.70

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Solution

The fourth proportional to 173.23, 238.95 and 107.70 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.23 : 238.95 = 107.70 : x
  2. Step 2: Convert to fraction form
    173.23/238.95 = 107.70/x
  3. Step 3: Cross multiply
    173.23x = 238.95 × 107.70
  4. Step 4: Simplify right side
    173.23x = 25,734.92
  5. Step 5: Solve for x
    x = 25,734.92/173.23
  6. Step 6: Final answer
    x = 148.56

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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.