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Finding the Fourth Proportional to 299.68, 414 and 226

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Solution

The fourth proportional to 299.68, 414 and 226 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 414 = 226 : x
  2. Step 2: Convert to fraction form
    299.68/414 = 226/x
  3. Step 3: Cross multiply
    299.68x = 414 × 226
  4. Step 4: Simplify right side
    299.68x = 93,564
  5. Step 5: Solve for x
    x = 93,564/299.68
  6. Step 6: Final answer
    x = 312.21

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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.