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Finding the Fourth Proportional to 284.26, 392.22 and 195.80

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Solution

The fourth proportional to 284.26, 392.22 and 195.80 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 392.22 = 195.80 : x
  2. Step 2: Convert to fraction form
    284.26/392.22 = 195.80/x
  3. Step 3: Cross multiply
    284.26x = 392.22 × 195.80
  4. Step 4: Simplify right side
    284.26x = 76,796.68
  5. Step 5: Solve for x
    x = 76,796.68/284.26
  6. Step 6: Final answer
    x = 270.16

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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.