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Finding the Fourth Proportional to 492.20, 738 and 199.84

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Solution

The fourth proportional to 492.20, 738 and 199.84 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 738 = 199.84 : x
  2. Step 2: Convert to fraction form
    492.20/738 = 199.84/x
  3. Step 3: Cross multiply
    492.20x = 738 × 199.84
  4. Step 4: Simplify right side
    492.20x = 147,481.92
  5. Step 5: Solve for x
    x = 147,481.92/492.20
  6. Step 6: Final answer
    x = 299.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.