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Finding the Fourth Proportional to 321.62, 482.43 and 105.20

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Solution

The fourth proportional to 321.62, 482.43 and 105.20 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.62 : 482.43 = 105.20 : x
  2. Step 2: Convert to fraction form
    321.62/482.43 = 105.20/x
  3. Step 3: Cross multiply
    321.62x = 482.43 × 105.20
  4. Step 4: Simplify right side
    321.62x = 50,748.70
  5. Step 5: Solve for x
    x = 50,748.70/321.62
  6. Step 6: Final answer
    x = 157.79

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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.