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Finding the Fourth Proportional to 322.78, 484.31 and 106.38

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Solution

The fourth proportional to 322.78, 484.31 and 106.38 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 484.31 = 106.38 : x
  2. Step 2: Convert to fraction form
    322.78/484.31 = 106.38/x
  3. Step 3: Cross multiply
    322.78x = 484.31 × 106.38
  4. Step 4: Simplify right side
    322.78x = 51,520.37
  5. Step 5: Solve for x
    x = 51,520.37/322.78
  6. Step 6: Final answer
    x = 159.61

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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.