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Finding the Fourth Proportional to 173.92, 240.16 and 166.10

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Solution

The fourth proportional to 173.92, 240.16 and 166.10 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.92 : 240.16 = 166.10 : x
  2. Step 2: Convert to fraction form
    173.92/240.16 = 166.10/x
  3. Step 3: Cross multiply
    173.92x = 240.16 × 166.10
  4. Step 4: Simplify right side
    173.92x = 39,890.58
  5. Step 5: Solve for x
    x = 39,890.58/173.92
  6. Step 6: Final answer
    x = 229.36

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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.