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Finding the Fourth Proportional to 323.36, 484.84 and 106.88

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Solution

The fourth proportional to 323.36, 484.84 and 106.88 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 484.84 = 106.88 : x
  2. Step 2: Convert to fraction form
    323.36/484.84 = 106.88/x
  3. Step 3: Cross multiply
    323.36x = 484.84 × 106.88
  4. Step 4: Simplify right side
    323.36x = 51,819.70
  5. Step 5: Solve for x
    x = 51,819.70/323.36
  6. Step 6: Final answer
    x = 160.25

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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.