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Finding the Fourth Proportional to 412.96, 619.43 and 166.27

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Solution

The fourth proportional to 412.96, 619.43 and 166.27 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 619.43 = 166.27 : x
  2. Step 2: Convert to fraction form
    412.96/619.43 = 166.27/x
  3. Step 3: Cross multiply
    412.96x = 619.43 × 166.27
  4. Step 4: Simplify right side
    412.96x = 102,988.70
  5. Step 5: Solve for x
    x = 102,988.70/412.96
  6. Step 6: Final answer
    x = 249.39

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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.