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Finding the Fourth Proportional to 308.44, 461.76 and 199.92

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Solution

The fourth proportional to 308.44, 461.76 and 199.92 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.44 : 461.76 = 199.92 : x
  2. Step 2: Convert to fraction form
    308.44/461.76 = 199.92/x
  3. Step 3: Cross multiply
    308.44x = 461.76 × 199.92
  4. Step 4: Simplify right side
    308.44x = 92,315.06
  5. Step 5: Solve for x
    x = 92,315.06/308.44
  6. Step 6: Final answer
    x = 299.30

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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.