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Finding the Fourth Proportional to 408.99, 613.83 and 165.69

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Solution

The fourth proportional to 408.99, 613.83 and 165.69 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.99 : 613.83 = 165.69 : x
  2. Step 2: Convert to fraction form
    408.99/613.83 = 165.69/x
  3. Step 3: Cross multiply
    408.99x = 613.83 × 165.69
  4. Step 4: Simplify right side
    408.99x = 101,705.49
  5. Step 5: Solve for x
    x = 101,705.49/408.99
  6. Step 6: Final answer
    x = 248.67

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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.