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Finding the Fourth Proportional to 173.91, 240.44 and 166.26

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Solution

The fourth proportional to 173.91, 240.44 and 166.26 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.91 : 240.44 = 166.26 : x
  2. Step 2: Convert to fraction form
    173.91/240.44 = 166.26/x
  3. Step 3: Cross multiply
    173.91x = 240.44 × 166.26
  4. Step 4: Simplify right side
    173.91x = 39,974.35
  5. Step 5: Solve for x
    x = 39,974.35/173.91
  6. Step 6: Final answer
    x = 229.86

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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.