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Finding the Fourth Proportional to 357.92, 493.86 and 200.56

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Solution

The fourth proportional to 357.92, 493.86 and 200.56 is: 276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 493.86 = 200.56 : x
  2. Step 2: Convert to fraction form
    357.92/493.86 = 200.56/x
  3. Step 3: Cross multiply
    357.92x = 493.86 × 200.56
  4. Step 4: Simplify right side
    357.92x = 99,048.56
  5. Step 5: Solve for x
    x = 99,048.56/357.92
  6. Step 6: Final answer
    x = 276.73

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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.