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Finding the Fourth Proportional to 409.89, 614.70 and 166.35

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Solution

The fourth proportional to 409.89, 614.70 and 166.35 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 614.70 = 166.35 : x
  2. Step 2: Convert to fraction form
    409.89/614.70 = 166.35/x
  3. Step 3: Cross multiply
    409.89x = 614.70 × 166.35
  4. Step 4: Simplify right side
    409.89x = 102,255.35
  5. Step 5: Solve for x
    x = 102,255.35/409.89
  6. Step 6: Final answer
    x = 249.47

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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.