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Finding the Fourth Proportional to 252.60, 348.51 and 205.89

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Solution

The fourth proportional to 252.60, 348.51 and 205.89 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 348.51 = 205.89 : x
  2. Step 2: Convert to fraction form
    252.60/348.51 = 205.89/x
  3. Step 3: Cross multiply
    252.60x = 348.51 × 205.89
  4. Step 4: Simplify right side
    252.60x = 71,755.97
  5. Step 5: Solve for x
    x = 71,755.97/252.60
  6. Step 6: Final answer
    x = 284.07

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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.