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Finding the Fourth Proportional to 169.14, 232.17 and 150.31

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Solution

The fourth proportional to 169.14, 232.17 and 150.31 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 232.17 = 150.31 : x
  2. Step 2: Convert to fraction form
    169.14/232.17 = 150.31/x
  3. Step 3: Cross multiply
    169.14x = 232.17 × 150.31
  4. Step 4: Simplify right side
    169.14x = 34,896.89
  5. Step 5: Solve for x
    x = 34,896.89/169.14
  6. Step 6: Final answer
    x = 206.32

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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.