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Finding the Fourth Proportional to 321.80, 482.38 and 105.22

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Solution

The fourth proportional to 321.80, 482.38 and 105.22 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 482.38 = 105.22 : x
  2. Step 2: Convert to fraction form
    321.80/482.38 = 105.22/x
  3. Step 3: Cross multiply
    321.80x = 482.38 × 105.22
  4. Step 4: Simplify right side
    321.80x = 50,756.02
  5. Step 5: Solve for x
    x = 50,756.02/321.80
  6. Step 6: Final answer
    x = 157.73

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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.