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Finding the Fourth Proportional to 173.30, 237.30 and 166.41

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Solution

The fourth proportional to 173.30, 237.30 and 166.41 is: 227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.30 : 237.30 = 166.41 : x
  2. Step 2: Convert to fraction form
    173.30/237.30 = 166.41/x
  3. Step 3: Cross multiply
    173.30x = 237.30 × 166.41
  4. Step 4: Simplify right side
    173.30x = 39,489.09
  5. Step 5: Solve for x
    x = 39,489.09/173.30
  6. Step 6: Final answer
    x = 227.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.