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Finding the Fourth Proportional to 313.82, 470.66 and 227.96

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Solution

The fourth proportional to 313.82, 470.66 and 227.96 is: 341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 470.66 = 227.96 : x
  2. Step 2: Convert to fraction form
    313.82/470.66 = 227.96/x
  3. Step 3: Cross multiply
    313.82x = 470.66 × 227.96
  4. Step 4: Simplify right side
    313.82x = 107,291.65
  5. Step 5: Solve for x
    x = 107,291.65/313.82
  6. Step 6: Final answer
    x = 341.89

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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.