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Finding the Fourth Proportional to 321.73, 482.47 and 105.25

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Solution

The fourth proportional to 321.73, 482.47 and 105.25 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.73 : 482.47 = 105.25 : x
  2. Step 2: Convert to fraction form
    321.73/482.47 = 105.25/x
  3. Step 3: Cross multiply
    321.73x = 482.47 × 105.25
  4. Step 4: Simplify right side
    321.73x = 50,779.97
  5. Step 5: Solve for x
    x = 50,779.97/321.73
  6. Step 6: Final answer
    x = 157.83

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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.