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Finding the Fourth Proportional to 321.09, 481.60 and 126.24

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Solution

The fourth proportional to 321.09, 481.60 and 126.24 is: 189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 481.60 = 126.24 : x
  2. Step 2: Convert to fraction form
    321.09/481.60 = 126.24/x
  3. Step 3: Cross multiply
    321.09x = 481.60 × 126.24
  4. Step 4: Simplify right side
    321.09x = 60,797.25
  5. Step 5: Solve for x
    x = 60,797.25/321.09
  6. Step 6: Final answer
    x = 189.34

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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.