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Finding the Fourth Proportional to 408.87, 612.83 and 165.09

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Solution

The fourth proportional to 408.87, 612.83 and 165.09 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.87 : 612.83 = 165.09 : x
  2. Step 2: Convert to fraction form
    408.87/612.83 = 165.09/x
  3. Step 3: Cross multiply
    408.87x = 612.83 × 165.09
  4. Step 4: Simplify right side
    408.87x = 101,174.82
  5. Step 5: Solve for x
    x = 101,174.82/408.87
  6. Step 6: Final answer
    x = 247.45

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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.