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Finding the Fourth Proportional to 312.23, 467.82 and 190.12

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Solution

The fourth proportional to 312.23, 467.82 and 190.12 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.23 : 467.82 = 190.12 : x
  2. Step 2: Convert to fraction form
    312.23/467.82 = 190.12/x
  3. Step 3: Cross multiply
    312.23x = 467.82 × 190.12
  4. Step 4: Simplify right side
    312.23x = 88,941.94
  5. Step 5: Solve for x
    x = 88,941.94/312.23
  6. Step 6: Final answer
    x = 284.86

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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.