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Finding the Fourth Proportional to 322.08, 482.96 and 167.96

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Solution

The fourth proportional to 322.08, 482.96 and 167.96 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 482.96 = 167.96 : x
  2. Step 2: Convert to fraction form
    322.08/482.96 = 167.96/x
  3. Step 3: Cross multiply
    322.08x = 482.96 × 167.96
  4. Step 4: Simplify right side
    322.08x = 81,119.56
  5. Step 5: Solve for x
    x = 81,119.56/322.08
  6. Step 6: Final answer
    x = 251.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.