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Finding the Fourth Proportional to 298.68, 412.02 and 199.14

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Solution

The fourth proportional to 298.68, 412.02 and 199.14 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 412.02 = 199.14 : x
  2. Step 2: Convert to fraction form
    298.68/412.02 = 199.14/x
  3. Step 3: Cross multiply
    298.68x = 412.02 × 199.14
  4. Step 4: Simplify right side
    298.68x = 82,049.66
  5. Step 5: Solve for x
    x = 82,049.66/298.68
  6. Step 6: Final answer
    x = 274.71

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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.