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Finding the Fourth Proportional to 299.21, 412.97 and 194.31

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Solution

The fourth proportional to 299.21, 412.97 and 194.31 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 412.97 = 194.31 : x
  2. Step 2: Convert to fraction form
    299.21/412.97 = 194.31/x
  3. Step 3: Cross multiply
    299.21x = 412.97 × 194.31
  4. Step 4: Simplify right side
    299.21x = 80,243.23
  5. Step 5: Solve for x
    x = 80,243.23/299.21
  6. Step 6: Final answer
    x = 268.19

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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.