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Finding the Fourth Proportional to 408.23, 612.07 and 161.41

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Solution

The fourth proportional to 408.23, 612.07 and 161.41 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.23 : 612.07 = 161.41 : x
  2. Step 2: Convert to fraction form
    408.23/612.07 = 161.41/x
  3. Step 3: Cross multiply
    408.23x = 612.07 × 161.41
  4. Step 4: Simplify right side
    408.23x = 98,794.22
  5. Step 5: Solve for x
    x = 98,794.22/408.23
  6. Step 6: Final answer
    x = 242.01

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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.