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Finding the Fourth Proportional to 408.23, 612.29 and 134.24

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Solution

The fourth proportional to 408.23, 612.29 and 134.24 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.23 : 612.29 = 134.24 : x
  2. Step 2: Convert to fraction form
    408.23/612.29 = 134.24/x
  3. Step 3: Cross multiply
    408.23x = 612.29 × 134.24
  4. Step 4: Simplify right side
    408.23x = 82,190.08
  5. Step 5: Solve for x
    x = 82,190.08/408.23
  6. Step 6: Final answer
    x = 201.34

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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.