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Finding the Fourth Proportional to 321.68, 482.32 and 159.52

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Solution

The fourth proportional to 321.68, 482.32 and 159.52 is: 239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.68 : 482.32 = 159.52 : x
  2. Step 2: Convert to fraction form
    321.68/482.32 = 159.52/x
  3. Step 3: Cross multiply
    321.68x = 482.32 × 159.52
  4. Step 4: Simplify right side
    321.68x = 76,939.69
  5. Step 5: Solve for x
    x = 76,939.69/321.68
  6. Step 6: Final answer
    x = 239.18

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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.