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Finding the Fourth Proportional to 357.76, 493.68 and 200.39

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Solution

The fourth proportional to 357.76, 493.68 and 200.39 is: 276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.76 : 493.68 = 200.39 : x
  2. Step 2: Convert to fraction form
    357.76/493.68 = 200.39/x
  3. Step 3: Cross multiply
    357.76x = 493.68 × 200.39
  4. Step 4: Simplify right side
    357.76x = 98,928.54
  5. Step 5: Solve for x
    x = 98,928.54/357.76
  6. Step 6: Final answer
    x = 276.52

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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.