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Finding the Fourth Proportional to 170.83, 234.31 and 166.78

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Solution

The fourth proportional to 170.83, 234.31 and 166.78 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.83 : 234.31 = 166.78 : x
  2. Step 2: Convert to fraction form
    170.83/234.31 = 166.78/x
  3. Step 3: Cross multiply
    170.83x = 234.31 × 166.78
  4. Step 4: Simplify right side
    170.83x = 39,078.22
  5. Step 5: Solve for x
    x = 39,078.22/170.83
  6. Step 6: Final answer
    x = 228.76

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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.