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Finding the Fourth Proportional to 253.25, 349.82 and 204.31

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Solution

The fourth proportional to 253.25, 349.82 and 204.31 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.25 : 349.82 = 204.31 : x
  2. Step 2: Convert to fraction form
    253.25/349.82 = 204.31/x
  3. Step 3: Cross multiply
    253.25x = 349.82 × 204.31
  4. Step 4: Simplify right side
    253.25x = 71,470.70
  5. Step 5: Solve for x
    x = 71,470.70/253.25
  6. Step 6: Final answer
    x = 282.21

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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.