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Finding the Fourth Proportional to 321.76, 482.96 and 167.92

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Solution

The fourth proportional to 321.76, 482.96 and 167.92 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 482.96 = 167.92 : x
  2. Step 2: Convert to fraction form
    321.76/482.96 = 167.92/x
  3. Step 3: Cross multiply
    321.76x = 482.96 × 167.92
  4. Step 4: Simplify right side
    321.76x = 81,098.64
  5. Step 5: Solve for x
    x = 81,098.64/321.76
  6. Step 6: Final answer
    x = 252.05

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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.