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Finding the Fourth Proportional to 322.98, 484.26 and 168.96

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Solution

The fourth proportional to 322.98, 484.26 and 168.96 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 484.26 = 168.96 : x
  2. Step 2: Convert to fraction form
    322.98/484.26 = 168.96/x
  3. Step 3: Cross multiply
    322.98x = 484.26 × 168.96
  4. Step 4: Simplify right side
    322.98x = 81,820.57
  5. Step 5: Solve for x
    x = 81,820.57/322.98
  6. Step 6: Final answer
    x = 253.33

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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.