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Finding the Fourth Proportional to 168.31, 232.38 and 150.77

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Solution

The fourth proportional to 168.31, 232.38 and 150.77 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.31 : 232.38 = 150.77 : x
  2. Step 2: Convert to fraction form
    168.31/232.38 = 150.77/x
  3. Step 3: Cross multiply
    168.31x = 232.38 × 150.77
  4. Step 4: Simplify right side
    168.31x = 35,034.02
  5. Step 5: Solve for x
    x = 35,034.02/168.31
  6. Step 6: Final answer
    x = 208.16

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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.