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Finding the Fourth Proportional to 481.21, 721.84 and 129.86

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Solution

The fourth proportional to 481.21, 721.84 and 129.86 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.21 : 721.84 = 129.86 : x
  2. Step 2: Convert to fraction form
    481.21/721.84 = 129.86/x
  3. Step 3: Cross multiply
    481.21x = 721.84 × 129.86
  4. Step 4: Simplify right side
    481.21x = 93,741.22
  5. Step 5: Solve for x
    x = 93,741.22/481.21
  6. Step 6: Final answer
    x = 194.80

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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.