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Finding the Fourth Proportional to 323.46, 484.95 and 179.22

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Solution

The fourth proportional to 323.46, 484.95 and 179.22 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.46 : 484.95 = 179.22 : x
  2. Step 2: Convert to fraction form
    323.46/484.95 = 179.22/x
  3. Step 3: Cross multiply
    323.46x = 484.95 × 179.22
  4. Step 4: Simplify right side
    323.46x = 86,912.74
  5. Step 5: Solve for x
    x = 86,912.74/323.46
  6. Step 6: Final answer
    x = 268.70

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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.