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Finding the Fourth Proportional to 323.48, 485.15 and 106.94

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Solution

The fourth proportional to 323.48, 485.15 and 106.94 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 485.15 = 106.94 : x
  2. Step 2: Convert to fraction form
    323.48/485.15 = 106.94/x
  3. Step 3: Cross multiply
    323.48x = 485.15 × 106.94
  4. Step 4: Simplify right side
    323.48x = 51,878.98
  5. Step 5: Solve for x
    x = 51,878.98/323.48
  6. Step 6: Final answer
    x = 160.38

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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.