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Finding the Fourth Proportional to 313.86, 470.69 and 159.96

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Solution

The fourth proportional to 313.86, 470.69 and 159.96 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 470.69 = 159.96 : x
  2. Step 2: Convert to fraction form
    313.86/470.69 = 159.96/x
  3. Step 3: Cross multiply
    313.86x = 470.69 × 159.96
  4. Step 4: Simplify right side
    313.86x = 75,291.57
  5. Step 5: Solve for x
    x = 75,291.57/313.86
  6. Step 6: Final answer
    x = 239.89

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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.