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Finding the Fourth Proportional to 321.25, 481.93 and 104.78

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Solution

The fourth proportional to 321.25, 481.93 and 104.78 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.25 : 481.93 = 104.78 : x
  2. Step 2: Convert to fraction form
    321.25/481.93 = 104.78/x
  3. Step 3: Cross multiply
    321.25x = 481.93 × 104.78
  4. Step 4: Simplify right side
    321.25x = 50,496.63
  5. Step 5: Solve for x
    x = 50,496.63/321.25
  6. Step 6: Final answer
    x = 157.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.