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Finding the Fourth Proportional to 409.73, 614.43 and 166.13

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Solution

The fourth proportional to 409.73, 614.43 and 166.13 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.73 : 614.43 = 166.13 : x
  2. Step 2: Convert to fraction form
    409.73/614.43 = 166.13/x
  3. Step 3: Cross multiply
    409.73x = 614.43 × 166.13
  4. Step 4: Simplify right side
    409.73x = 102,075.26
  5. Step 5: Solve for x
    x = 102,075.26/409.73
  6. Step 6: Final answer
    x = 249.13

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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.