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Finding the Fourth Proportional to 409.98, 615.14 and 166.44

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Solution

The fourth proportional to 409.98, 615.14 and 166.44 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 615.14 = 166.44 : x
  2. Step 2: Convert to fraction form
    409.98/615.14 = 166.44/x
  3. Step 3: Cross multiply
    409.98x = 615.14 × 166.44
  4. Step 4: Simplify right side
    409.98x = 102,383.90
  5. Step 5: Solve for x
    x = 102,383.90/409.98
  6. Step 6: Final answer
    x = 249.73

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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.