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Finding the Fourth Proportional to 321.54, 481.82 and 184.61

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Solution

The fourth proportional to 321.54, 481.82 and 184.61 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.54 : 481.82 = 184.61 : x
  2. Step 2: Convert to fraction form
    321.54/481.82 = 184.61/x
  3. Step 3: Cross multiply
    321.54x = 481.82 × 184.61
  4. Step 4: Simplify right side
    321.54x = 88,949.07
  5. Step 5: Solve for x
    x = 88,949.07/321.54
  6. Step 6: Final answer
    x = 276.64

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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.