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Finding the Fourth Proportional to 313.84, 470.72 and 159.86

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Solution

The fourth proportional to 313.84, 470.72 and 159.86 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.84 : 470.72 = 159.86 : x
  2. Step 2: Convert to fraction form
    313.84/470.72 = 159.86/x
  3. Step 3: Cross multiply
    313.84x = 470.72 × 159.86
  4. Step 4: Simplify right side
    313.84x = 75,250.88
  5. Step 5: Solve for x
    x = 75,250.88/313.84
  6. Step 6: Final answer
    x = 239.78

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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.