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Finding the Fourth Proportional to 322.26, 483.39 and 105.86

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Solution

The fourth proportional to 322.26, 483.39 and 105.86 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.26 : 483.39 = 105.86 : x
  2. Step 2: Convert to fraction form
    322.26/483.39 = 105.86/x
  3. Step 3: Cross multiply
    322.26x = 483.39 × 105.86
  4. Step 4: Simplify right side
    322.26x = 51,169.25
  5. Step 5: Solve for x
    x = 51,169.25/322.26
  6. Step 6: Final answer
    x = 158.78

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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.