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Finding the Fourth Proportional to 286.95, 396.14 and 194.18

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Solution

The fourth proportional to 286.95, 396.14 and 194.18 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 396.14 = 194.18 : x
  2. Step 2: Convert to fraction form
    286.95/396.14 = 194.18/x
  3. Step 3: Cross multiply
    286.95x = 396.14 × 194.18
  4. Step 4: Simplify right side
    286.95x = 76,922.47
  5. Step 5: Solve for x
    x = 76,922.47/286.95
  6. Step 6: Final answer
    x = 268.07

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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.