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Finding the Fourth Proportional to 352.91, 486.97 and 205.49

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Solution

The fourth proportional to 352.91, 486.97 and 205.49 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.91 : 486.97 = 205.49 : x
  2. Step 2: Convert to fraction form
    352.91/486.97 = 205.49/x
  3. Step 3: Cross multiply
    352.91x = 486.97 × 205.49
  4. Step 4: Simplify right side
    352.91x = 100,068.17
  5. Step 5: Solve for x
    x = 100,068.17/352.91
  6. Step 6: Final answer
    x = 283.55

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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.