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Finding the Fourth Proportional to 299.34, 412.92 and 194.22

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Solution

The fourth proportional to 299.34, 412.92 and 194.22 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 412.92 = 194.22 : x
  2. Step 2: Convert to fraction form
    299.34/412.92 = 194.22/x
  3. Step 3: Cross multiply
    299.34x = 412.92 × 194.22
  4. Step 4: Simplify right side
    299.34x = 80,197.32
  5. Step 5: Solve for x
    x = 80,197.32/299.34
  6. Step 6: Final answer
    x = 267.91

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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.