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Finding the Fourth Proportional to 308.88, 426.36 and 205.68

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Solution

The fourth proportional to 308.88, 426.36 and 205.68 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.88 : 426.36 = 205.68 : x
  2. Step 2: Convert to fraction form
    308.88/426.36 = 205.68/x
  3. Step 3: Cross multiply
    308.88x = 426.36 × 205.68
  4. Step 4: Simplify right side
    308.88x = 87,693.72
  5. Step 5: Solve for x
    x = 87,693.72/308.88
  6. Step 6: Final answer
    x = 283.91

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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.