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Finding the Fourth Proportional to 409.82, 614.77 and 166.35

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Solution

The fourth proportional to 409.82, 614.77 and 166.35 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 614.77 = 166.35 : x
  2. Step 2: Convert to fraction form
    409.82/614.77 = 166.35/x
  3. Step 3: Cross multiply
    409.82x = 614.77 × 166.35
  4. Step 4: Simplify right side
    409.82x = 102,266.57
  5. Step 5: Solve for x
    x = 102,266.57/409.82
  6. Step 6: Final answer
    x = 249.54

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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.