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Finding the Fourth Proportional to 299.12, 412.94 and 200.99

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Solution

The fourth proportional to 299.12, 412.94 and 200.99 is: 277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 412.94 = 200.99 : x
  2. Step 2: Convert to fraction form
    299.12/412.94 = 200.99/x
  3. Step 3: Cross multiply
    299.12x = 412.94 × 200.99
  4. Step 4: Simplify right side
    299.12x = 82,998.35
  5. Step 5: Solve for x
    x = 82,998.35/299.12
  6. Step 6: Final answer
    x = 277.48

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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.