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Finding the Fourth Proportional to 313.93, 470.96 and 222.35

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Solution

The fourth proportional to 313.93, 470.96 and 222.35 is: 333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 470.96 = 222.35 : x
  2. Step 2: Convert to fraction form
    313.93/470.96 = 222.35/x
  3. Step 3: Cross multiply
    313.93x = 470.96 × 222.35
  4. Step 4: Simplify right side
    313.93x = 104,716.57
  5. Step 5: Solve for x
    x = 104,716.57/313.93
  6. Step 6: Final answer
    x = 333.57

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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.