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Finding the Fourth Proportional to 313.75, 470.22 and 227.37

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Solution

The fourth proportional to 313.75, 470.22 and 227.37 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 470.22 = 227.37 : x
  2. Step 2: Convert to fraction form
    313.75/470.22 = 227.37/x
  3. Step 3: Cross multiply
    313.75x = 470.22 × 227.37
  4. Step 4: Simplify right side
    313.75x = 106,913.92
  5. Step 5: Solve for x
    x = 106,913.92/313.75
  6. Step 6: Final answer
    x = 340.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.