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Finding the Fourth Proportional to 313.94, 470.22 and 159.60

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Solution

The fourth proportional to 313.94, 470.22 and 159.60 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 470.22 = 159.60 : x
  2. Step 2: Convert to fraction form
    313.94/470.22 = 159.60/x
  3. Step 3: Cross multiply
    313.94x = 470.22 × 159.60
  4. Step 4: Simplify right side
    313.94x = 75,048.69
  5. Step 5: Solve for x
    x = 75,048.69/313.94
  6. Step 6: Final answer
    x = 239.05

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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.