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Finding the Fourth Proportional to 323.34, 485.08 and 106.91

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Solution

The fourth proportional to 323.34, 485.08 and 106.91 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.34 : 485.08 = 106.91 : x
  2. Step 2: Convert to fraction form
    323.34/485.08 = 106.91/x
  3. Step 3: Cross multiply
    323.34x = 485.08 × 106.91
  4. Step 4: Simplify right side
    323.34x = 51,859.90
  5. Step 5: Solve for x
    x = 51,859.90/323.34
  6. Step 6: Final answer
    x = 160.39

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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.