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Finding the Fourth Proportional to 408.25, 612.47 and 151.75

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Solution

The fourth proportional to 408.25, 612.47 and 151.75 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 612.47 = 151.75 : x
  2. Step 2: Convert to fraction form
    408.25/612.47 = 151.75/x
  3. Step 3: Cross multiply
    408.25x = 612.47 × 151.75
  4. Step 4: Simplify right side
    408.25x = 92,942.32
  5. Step 5: Solve for x
    x = 92,942.32/408.25
  6. Step 6: Final answer
    x = 227.66

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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.