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Finding the Fourth Proportional to 299.21, 412.70 and 205.82

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Solution

The fourth proportional to 299.21, 412.70 and 205.82 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 412.70 = 205.82 : x
  2. Step 2: Convert to fraction form
    299.21/412.70 = 205.82/x
  3. Step 3: Cross multiply
    299.21x = 412.70 × 205.82
  4. Step 4: Simplify right side
    299.21x = 84,938.82
  5. Step 5: Solve for x
    x = 84,938.82/299.21
  6. Step 6: Final answer
    x = 283.88

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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.