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Finding the Fourth Proportional to 299, 412.62 and 195.50

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Solution

The fourth proportional to 299, 412.62 and 195.50 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 412.62 = 195.50 : x
  2. Step 2: Convert to fraction form
    299/412.62 = 195.50/x
  3. Step 3: Cross multiply
    299x = 412.62 × 195.50
  4. Step 4: Simplify right side
    299x = 80,667.21
  5. Step 5: Solve for x
    x = 80,667.21/299
  6. Step 6: Final answer
    x = 269.79

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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.