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Finding the Fourth Proportional to 173.68, 240.78 and 164.43

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Solution

The fourth proportional to 173.68, 240.78 and 164.43 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 240.78 = 164.43 : x
  2. Step 2: Convert to fraction form
    173.68/240.78 = 164.43/x
  3. Step 3: Cross multiply
    173.68x = 240.78 × 164.43
  4. Step 4: Simplify right side
    173.68x = 39,591.74
  5. Step 5: Solve for x
    x = 39,591.74/173.68
  6. Step 6: Final answer
    x = 227.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.