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Finding the Fourth Proportional to 286.07, 394.85 and 197.67

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Solution

The fourth proportional to 286.07, 394.85 and 197.67 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.07 : 394.85 = 197.67 : x
  2. Step 2: Convert to fraction form
    286.07/394.85 = 197.67/x
  3. Step 3: Cross multiply
    286.07x = 394.85 × 197.67
  4. Step 4: Simplify right side
    286.07x = 78,049.01
  5. Step 5: Solve for x
    x = 78,049.01/286.07
  6. Step 6: Final answer
    x = 272.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.