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Finding the Fourth Proportional to 173.87, 261.08 and 167.66

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Solution

The fourth proportional to 173.87, 261.08 and 167.66 is: 251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.87 : 261.08 = 167.66 : x
  2. Step 2: Convert to fraction form
    173.87/261.08 = 167.66/x
  3. Step 3: Cross multiply
    173.87x = 261.08 × 167.66
  4. Step 4: Simplify right side
    173.87x = 43,772.67
  5. Step 5: Solve for x
    x = 43,772.67/173.87
  6. Step 6: Final answer
    x = 251.76

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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.