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Finding the Fourth Proportional to 400.38, 600.78 and 166.29

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Solution

The fourth proportional to 400.38, 600.78 and 166.29 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.38 : 600.78 = 166.29 : x
  2. Step 2: Convert to fraction form
    400.38/600.78 = 166.29/x
  3. Step 3: Cross multiply
    400.38x = 600.78 × 166.29
  4. Step 4: Simplify right side
    400.38x = 99,903.71
  5. Step 5: Solve for x
    x = 99,903.71/400.38
  6. Step 6: Final answer
    x = 249.52

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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.