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Finding the Fourth Proportional to 299.09, 412.17 and 211.61

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Solution

The fourth proportional to 299.09, 412.17 and 211.61 is: 291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.17 = 211.61 : x
  2. Step 2: Convert to fraction form
    299.09/412.17 = 211.61/x
  3. Step 3: Cross multiply
    299.09x = 412.17 × 211.61
  4. Step 4: Simplify right side
    299.09x = 87,217.23
  5. Step 5: Solve for x
    x = 87,217.23/299.09
  6. Step 6: Final answer
    x = 291.61

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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.