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Finding the Fourth Proportional to 409.57, 614.38 and 166.10

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Solution

The fourth proportional to 409.57, 614.38 and 166.10 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.57 : 614.38 = 166.10 : x
  2. Step 2: Convert to fraction form
    409.57/614.38 = 166.10/x
  3. Step 3: Cross multiply
    409.57x = 614.38 × 166.10
  4. Step 4: Simplify right side
    409.57x = 102,048.52
  5. Step 5: Solve for x
    x = 102,048.52/409.57
  6. Step 6: Final answer
    x = 249.16

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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.