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Finding the Fourth Proportional to 409.82, 614.43 and 166.14

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Solution

The fourth proportional to 409.82, 614.43 and 166.14 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 614.43 = 166.14 : x
  2. Step 2: Convert to fraction form
    409.82/614.43 = 166.14/x
  3. Step 3: Cross multiply
    409.82x = 614.43 × 166.14
  4. Step 4: Simplify right side
    409.82x = 102,081.40
  5. Step 5: Solve for x
    x = 102,081.40/409.82
  6. Step 6: Final answer
    x = 249.09

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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.