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Finding the Fourth Proportional to 169.83, 232.94 and 165.78

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Solution

The fourth proportional to 169.83, 232.94 and 165.78 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 232.94 = 165.78 : x
  2. Step 2: Convert to fraction form
    169.83/232.94 = 165.78/x
  3. Step 3: Cross multiply
    169.83x = 232.94 × 165.78
  4. Step 4: Simplify right side
    169.83x = 38,617.21
  5. Step 5: Solve for x
    x = 38,617.21/169.83
  6. Step 6: Final answer
    x = 227.39

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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.