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Finding the Fourth Proportional to 400.69, 600.75 and 166.42

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Solution

The fourth proportional to 400.69, 600.75 and 166.42 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 600.75 = 166.42 : x
  2. Step 2: Convert to fraction form
    400.69/600.75 = 166.42/x
  3. Step 3: Cross multiply
    400.69x = 600.75 × 166.42
  4. Step 4: Simplify right side
    400.69x = 99,976.82
  5. Step 5: Solve for x
    x = 99,976.82/400.69
  6. Step 6: Final answer
    x = 249.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.