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Finding the Fourth Proportional to 173.16, 239.96 and 166.77

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Solution

The fourth proportional to 173.16, 239.96 and 166.77 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.16 : 239.96 = 166.77 : x
  2. Step 2: Convert to fraction form
    173.16/239.96 = 166.77/x
  3. Step 3: Cross multiply
    173.16x = 239.96 × 166.77
  4. Step 4: Simplify right side
    173.16x = 40,017.30
  5. Step 5: Solve for x
    x = 40,017.30/173.16
  6. Step 6: Final answer
    x = 231.10

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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.