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Finding the Fourth Proportional to 352.88, 486.96 and 205.56

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Solution

The fourth proportional to 352.88, 486.96 and 205.56 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.88 : 486.96 = 205.56 : x
  2. Step 2: Convert to fraction form
    352.88/486.96 = 205.56/x
  3. Step 3: Cross multiply
    352.88x = 486.96 × 205.56
  4. Step 4: Simplify right side
    352.88x = 100,099.50
  5. Step 5: Solve for x
    x = 100,099.50/352.88
  6. Step 6: Final answer
    x = 283.66

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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.