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Finding the Fourth Proportional to 299.52, 412.91 and 206.12

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Solution

The fourth proportional to 299.52, 412.91 and 206.12 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 412.91 = 206.12 : x
  2. Step 2: Convert to fraction form
    299.52/412.91 = 206.12/x
  3. Step 3: Cross multiply
    299.52x = 412.91 × 206.12
  4. Step 4: Simplify right side
    299.52x = 85,109.78
  5. Step 5: Solve for x
    x = 85,109.78/299.52
  6. Step 6: Final answer
    x = 284.15

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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.