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Finding the Fourth Proportional to 173.72, 240.86 and 166.16

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Solution

The fourth proportional to 173.72, 240.86 and 166.16 is: 230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 240.86 = 166.16 : x
  2. Step 2: Convert to fraction form
    173.72/240.86 = 166.16/x
  3. Step 3: Cross multiply
    173.72x = 240.86 × 166.16
  4. Step 4: Simplify right side
    173.72x = 40,021.30
  5. Step 5: Solve for x
    x = 40,021.30/173.72
  6. Step 6: Final answer
    x = 230.38

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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.