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Finding the Fourth Proportional to 409.96, 614.94 and 166.43

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Solution

The fourth proportional to 409.96, 614.94 and 166.43 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 614.94 = 166.43 : x
  2. Step 2: Convert to fraction form
    409.96/614.94 = 166.43/x
  3. Step 3: Cross multiply
    409.96x = 614.94 × 166.43
  4. Step 4: Simplify right side
    409.96x = 102,344.58
  5. Step 5: Solve for x
    x = 102,344.58/409.96
  6. Step 6: Final answer
    x = 249.64

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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.