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Finding the Fourth Proportional to 169.05, 232.92 and 139.65

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Solution

The fourth proportional to 169.05, 232.92 and 139.65 is: 192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.05 : 232.92 = 139.65 : x
  2. Step 2: Convert to fraction form
    169.05/232.92 = 139.65/x
  3. Step 3: Cross multiply
    169.05x = 232.92 × 139.65
  4. Step 4: Simplify right side
    169.05x = 32,527.28
  5. Step 5: Solve for x
    x = 32,527.28/169.05
  6. Step 6: Final answer
    x = 192.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.