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Finding the Fourth Proportional to 299.15, 412.67 and 194.09

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Solution

The fourth proportional to 299.15, 412.67 and 194.09 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 412.67 = 194.09 : x
  2. Step 2: Convert to fraction form
    299.15/412.67 = 194.09/x
  3. Step 3: Cross multiply
    299.15x = 412.67 × 194.09
  4. Step 4: Simplify right side
    299.15x = 80,095.18
  5. Step 5: Solve for x
    x = 80,095.18/299.15
  6. Step 6: Final answer
    x = 267.74

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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.