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Finding the Fourth Proportional to 168.82, 232.43 and 145.46

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Solution

The fourth proportional to 168.82, 232.43 and 145.46 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.82 : 232.43 = 145.46 : x
  2. Step 2: Convert to fraction form
    168.82/232.43 = 145.46/x
  3. Step 3: Cross multiply
    168.82x = 232.43 × 145.46
  4. Step 4: Simplify right side
    168.82x = 33,809.12
  5. Step 5: Solve for x
    x = 33,809.12/168.82
  6. Step 6: Final answer
    x = 200.27

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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.