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Finding the Fourth Proportional to 313.85, 470.82 and 159.73

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Solution

The fourth proportional to 313.85, 470.82 and 159.73 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 470.82 = 159.73 : x
  2. Step 2: Convert to fraction form
    313.85/470.82 = 159.73/x
  3. Step 3: Cross multiply
    313.85x = 470.82 × 159.73
  4. Step 4: Simplify right side
    313.85x = 75,204.08
  5. Step 5: Solve for x
    x = 75,204.08/313.85
  6. Step 6: Final answer
    x = 239.62

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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.