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Finding the Fourth Proportional to 308.88, 426.26 and 203.84

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Solution

The fourth proportional to 308.88, 426.26 and 203.84 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.88 : 426.26 = 203.84 : x
  2. Step 2: Convert to fraction form
    308.88/426.26 = 203.84/x
  3. Step 3: Cross multiply
    308.88x = 426.26 × 203.84
  4. Step 4: Simplify right side
    308.88x = 86,888.84
  5. Step 5: Solve for x
    x = 86,888.84/308.88
  6. Step 6: Final answer
    x = 281.30

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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.