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Finding the Fourth Proportional to 320.16, 441.84 and 195.96

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Solution

The fourth proportional to 320.16, 441.84 and 195.96 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.16 : 441.84 = 195.96 : x
  2. Step 2: Convert to fraction form
    320.16/441.84 = 195.96/x
  3. Step 3: Cross multiply
    320.16x = 441.84 × 195.96
  4. Step 4: Simplify right side
    320.16x = 86,582.97
  5. Step 5: Solve for x
    x = 86,582.97/320.16
  6. Step 6: Final answer
    x = 270.44

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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.