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Finding the Fourth Proportional to 312.35, 468.63 and 196.43

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Solution

The fourth proportional to 312.35, 468.63 and 196.43 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 468.63 = 196.43 : x
  2. Step 2: Convert to fraction form
    312.35/468.63 = 196.43/x
  3. Step 3: Cross multiply
    312.35x = 468.63 × 196.43
  4. Step 4: Simplify right side
    312.35x = 92,050.65
  5. Step 5: Solve for x
    x = 92,050.65/312.35
  6. Step 6: Final answer
    x = 294.71

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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.