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Finding the Fourth Proportional to 409.34, 614.61 and 166.34

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Solution

The fourth proportional to 409.34, 614.61 and 166.34 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 614.61 = 166.34 : x
  2. Step 2: Convert to fraction form
    409.34/614.61 = 166.34/x
  3. Step 3: Cross multiply
    409.34x = 614.61 × 166.34
  4. Step 4: Simplify right side
    409.34x = 102,231.15
  5. Step 5: Solve for x
    x = 102,231.15/409.34
  6. Step 6: Final answer
    x = 249.75

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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.