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Finding the Fourth Proportional to 300.70, 415 and 226.90

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Solution

The fourth proportional to 300.70, 415 and 226.90 is: 313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 415 = 226.90 : x
  2. Step 2: Convert to fraction form
    300.70/415 = 226.90/x
  3. Step 3: Cross multiply
    300.70x = 415 × 226.90
  4. Step 4: Simplify right side
    300.70x = 94,163.50
  5. Step 5: Solve for x
    x = 94,163.50/300.70
  6. Step 6: Final answer
    x = 313.15

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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.