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Finding the Fourth Proportional to 321.35, 482.01 and 167.22

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Solution

The fourth proportional to 321.35, 482.01 and 167.22 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.35 : 482.01 = 167.22 : x
  2. Step 2: Convert to fraction form
    321.35/482.01 = 167.22/x
  3. Step 3: Cross multiply
    321.35x = 482.01 × 167.22
  4. Step 4: Simplify right side
    321.35x = 80,601.71
  5. Step 5: Solve for x
    x = 80,601.71/321.35
  6. Step 6: Final answer
    x = 250.82

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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.