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Finding the Fourth Proportional to 169.52, 232.41 and 166.44

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Solution

The fourth proportional to 169.52, 232.41 and 166.44 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.52 : 232.41 = 166.44 : x
  2. Step 2: Convert to fraction form
    169.52/232.41 = 166.44/x
  3. Step 3: Cross multiply
    169.52x = 232.41 × 166.44
  4. Step 4: Simplify right side
    169.52x = 38,682.32
  5. Step 5: Solve for x
    x = 38,682.32/169.52
  6. Step 6: Final answer
    x = 228.19

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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.