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Finding the Fourth Proportional to 408.25, 612.48 and 119.69

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Solution

The fourth proportional to 408.25, 612.48 and 119.69 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 612.48 = 119.69 : x
  2. Step 2: Convert to fraction form
    408.25/612.48 = 119.69/x
  3. Step 3: Cross multiply
    408.25x = 612.48 × 119.69
  4. Step 4: Simplify right side
    408.25x = 73,307.73
  5. Step 5: Solve for x
    x = 73,307.73/408.25
  6. Step 6: Final answer
    x = 179.57

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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.