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Finding the Fourth Proportional to 252.45, 347.94 and 205.73

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Solution

The fourth proportional to 252.45, 347.94 and 205.73 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 347.94 = 205.73 : x
  2. Step 2: Convert to fraction form
    252.45/347.94 = 205.73/x
  3. Step 3: Cross multiply
    252.45x = 347.94 × 205.73
  4. Step 4: Simplify right side
    252.45x = 71,579.96
  5. Step 5: Solve for x
    x = 71,579.96/252.45
  6. Step 6: Final answer
    x = 283.54

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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.