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Finding the Fourth Proportional to 409.25, 613.94 and 165.84

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Solution

The fourth proportional to 409.25, 613.94 and 165.84 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 613.94 = 165.84 : x
  2. Step 2: Convert to fraction form
    409.25/613.94 = 165.84/x
  3. Step 3: Cross multiply
    409.25x = 613.94 × 165.84
  4. Step 4: Simplify right side
    409.25x = 101,814.98
  5. Step 5: Solve for x
    x = 101,814.98/409.25
  6. Step 6: Final answer
    x = 248.79

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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.