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Finding the Fourth Proportional to 323.05, 484.27 and 160.65

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Solution

The fourth proportional to 323.05, 484.27 and 160.65 is: 240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.05 : 484.27 = 160.65 : x
  2. Step 2: Convert to fraction form
    323.05/484.27 = 160.65/x
  3. Step 3: Cross multiply
    323.05x = 484.27 × 160.65
  4. Step 4: Simplify right side
    323.05x = 77,797.98
  5. Step 5: Solve for x
    x = 77,797.98/323.05
  6. Step 6: Final answer
    x = 240.82

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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.