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Finding the Fourth Proportional to 321.05, 481.77 and 184.37

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Solution

The fourth proportional to 321.05, 481.77 and 184.37 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 481.77 = 184.37 : x
  2. Step 2: Convert to fraction form
    321.05/481.77 = 184.37/x
  3. Step 3: Cross multiply
    321.05x = 481.77 × 184.37
  4. Step 4: Simplify right side
    321.05x = 88,821.53
  5. Step 5: Solve for x
    x = 88,821.53/321.05
  6. Step 6: Final answer
    x = 276.66

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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.