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Finding the Fourth Proportional to 320.24, 441.86 and 195.86

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Solution

The fourth proportional to 320.24, 441.86 and 195.86 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 441.86 = 195.86 : x
  2. Step 2: Convert to fraction form
    320.24/441.86 = 195.86/x
  3. Step 3: Cross multiply
    320.24x = 441.86 × 195.86
  4. Step 4: Simplify right side
    320.24x = 86,542.70
  5. Step 5: Solve for x
    x = 86,542.70/320.24
  6. Step 6: Final answer
    x = 270.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.