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Finding the Fourth Proportional to 409.23, 613.84 and 165.75

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Solution

The fourth proportional to 409.23, 613.84 and 165.75 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 613.84 = 165.75 : x
  2. Step 2: Convert to fraction form
    409.23/613.84 = 165.75/x
  3. Step 3: Cross multiply
    409.23x = 613.84 × 165.75
  4. Step 4: Simplify right side
    409.23x = 101,745.93
  5. Step 5: Solve for x
    x = 101,745.93/409.23
  6. Step 6: Final answer
    x = 248.63

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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.