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Finding the Fourth Proportional to 353.06, 487.14 and 205.67

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Solution

The fourth proportional to 353.06, 487.14 and 205.67 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.06 : 487.14 = 205.67 : x
  2. Step 2: Convert to fraction form
    353.06/487.14 = 205.67/x
  3. Step 3: Cross multiply
    353.06x = 487.14 × 205.67
  4. Step 4: Simplify right side
    353.06x = 100,190.53
  5. Step 5: Solve for x
    x = 100,190.53/353.06
  6. Step 6: Final answer
    x = 283.78

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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.