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Finding the Fourth Proportional to 409.96, 615.06 and 166.49

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Solution

The fourth proportional to 409.96, 615.06 and 166.49 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 615.06 = 166.49 : x
  2. Step 2: Convert to fraction form
    409.96/615.06 = 166.49/x
  3. Step 3: Cross multiply
    409.96x = 615.06 × 166.49
  4. Step 4: Simplify right side
    409.96x = 102,400.57
  5. Step 5: Solve for x
    x = 102,400.57/409.96
  6. Step 6: Final answer
    x = 249.78

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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.