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Finding the Fourth Proportional to 321.60, 481.92 and 159.10

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Solution

The fourth proportional to 321.60, 481.92 and 159.10 is: 238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 481.92 = 159.10 : x
  2. Step 2: Convert to fraction form
    321.60/481.92 = 159.10/x
  3. Step 3: Cross multiply
    321.60x = 481.92 × 159.10
  4. Step 4: Simplify right side
    321.60x = 76,673.47
  5. Step 5: Solve for x
    x = 76,673.47/321.60
  6. Step 6: Final answer
    x = 238.41

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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.