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Finding the Fourth Proportional to 300.30, 414.68 and 226.48

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Solution

The fourth proportional to 300.30, 414.68 and 226.48 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 414.68 = 226.48 : x
  2. Step 2: Convert to fraction form
    300.30/414.68 = 226.48/x
  3. Step 3: Cross multiply
    300.30x = 414.68 × 226.48
  4. Step 4: Simplify right side
    300.30x = 93,915.59
  5. Step 5: Solve for x
    x = 93,915.59/300.30
  6. Step 6: Final answer
    x = 312.74

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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.