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Finding the Fourth Proportional to 312.85, 468.46 and 190.95

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Solution

The fourth proportional to 312.85, 468.46 and 190.95 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 468.46 = 190.95 : x
  2. Step 2: Convert to fraction form
    312.85/468.46 = 190.95/x
  3. Step 3: Cross multiply
    312.85x = 468.46 × 190.95
  4. Step 4: Simplify right side
    312.85x = 89,452.44
  5. Step 5: Solve for x
    x = 89,452.44/312.85
  6. Step 6: Final answer
    x = 285.93

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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.