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Finding the Fourth Proportional to 308.63, 426.27 and 204.95

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Solution

The fourth proportional to 308.63, 426.27 and 204.95 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 426.27 = 204.95 : x
  2. Step 2: Convert to fraction form
    308.63/426.27 = 204.95/x
  3. Step 3: Cross multiply
    308.63x = 426.27 × 204.95
  4. Step 4: Simplify right side
    308.63x = 87,361.91
  5. Step 5: Solve for x
    x = 87,361.91/308.63
  6. Step 6: Final answer
    x = 283.07

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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.