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Finding the Fourth Proportional to 397.67, 596.46 and 166.42

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Solution

The fourth proportional to 397.67, 596.46 and 166.42 is: 249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.67 : 596.46 = 166.42 : x
  2. Step 2: Convert to fraction form
    397.67/596.46 = 166.42/x
  3. Step 3: Cross multiply
    397.67x = 596.46 × 166.42
  4. Step 4: Simplify right side
    397.67x = 99,262.87
  5. Step 5: Solve for x
    x = 99,262.87/397.67
  6. Step 6: Final answer
    x = 249.61

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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.