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Finding the Fourth Proportional to 313.49, 470.11 and 108

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Solution

The fourth proportional to 313.49, 470.11 and 108 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.11 = 108 : x
  2. Step 2: Convert to fraction form
    313.49/470.11 = 108/x
  3. Step 3: Cross multiply
    313.49x = 470.11 × 108
  4. Step 4: Simplify right side
    313.49x = 50,771.88
  5. Step 5: Solve for x
    x = 50,771.88/313.49
  6. Step 6: Final answer
    x = 161.96

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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.