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Finding the Fourth Proportional to 322.94, 484.32 and 166.62

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Solution

The fourth proportional to 322.94, 484.32 and 166.62 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 484.32 = 166.62 : x
  2. Step 2: Convert to fraction form
    322.94/484.32 = 166.62/x
  3. Step 3: Cross multiply
    322.94x = 484.32 × 166.62
  4. Step 4: Simplify right side
    322.94x = 80,697.40
  5. Step 5: Solve for x
    x = 80,697.40/322.94
  6. Step 6: Final answer
    x = 249.88

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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.