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Finding the Fourth Proportional to 312.75, 467.94 and 182.88

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Solution

The fourth proportional to 312.75, 467.94 and 182.88 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 467.94 = 182.88 : x
  2. Step 2: Convert to fraction form
    312.75/467.94 = 182.88/x
  3. Step 3: Cross multiply
    312.75x = 467.94 × 182.88
  4. Step 4: Simplify right side
    312.75x = 85,576.87
  5. Step 5: Solve for x
    x = 85,576.87/312.75
  6. Step 6: Final answer
    x = 273.63

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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.