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Finding the Fourth Proportional to 252.35, 348.08 and 205.73

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Solution

The fourth proportional to 252.35, 348.08 and 205.73 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.35 : 348.08 = 205.73 : x
  2. Step 2: Convert to fraction form
    252.35/348.08 = 205.73/x
  3. Step 3: Cross multiply
    252.35x = 348.08 × 205.73
  4. Step 4: Simplify right side
    252.35x = 71,610.50
  5. Step 5: Solve for x
    x = 71,610.50/252.35
  6. Step 6: Final answer
    x = 283.77

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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.