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Finding the Fourth Proportional to 173.30, 259.94 and 137.48

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Solution

The fourth proportional to 173.30, 259.94 and 137.48 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.30 : 259.94 = 137.48 : x
  2. Step 2: Convert to fraction form
    173.30/259.94 = 137.48/x
  3. Step 3: Cross multiply
    173.30x = 259.94 × 137.48
  4. Step 4: Simplify right side
    173.30x = 35,734.56
  5. Step 5: Solve for x
    x = 35,734.56/173.30
  6. Step 6: Final answer
    x = 206.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.