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Finding the Fourth Proportional to 286.08, 394.60 and 198.64

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Solution

The fourth proportional to 286.08, 394.60 and 198.64 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 394.60 = 198.64 : x
  2. Step 2: Convert to fraction form
    286.08/394.60 = 198.64/x
  3. Step 3: Cross multiply
    286.08x = 394.60 × 198.64
  4. Step 4: Simplify right side
    286.08x = 78,383.34
  5. Step 5: Solve for x
    x = 78,383.34/286.08
  6. Step 6: Final answer
    x = 273.99

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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.