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Finding the Fourth Proportional to 299.25, 412.83 and 194.31

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Solution

The fourth proportional to 299.25, 412.83 and 194.31 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 412.83 = 194.31 : x
  2. Step 2: Convert to fraction form
    299.25/412.83 = 194.31/x
  3. Step 3: Cross multiply
    299.25x = 412.83 × 194.31
  4. Step 4: Simplify right side
    299.25x = 80,217.00
  5. Step 5: Solve for x
    x = 80,217.00/299.25
  6. Step 6: Final answer
    x = 268.06

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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.