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Finding the Fourth Proportional to 286.18, 428.14 and 194.40

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Solution

The fourth proportional to 286.18, 428.14 and 194.40 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.18 : 428.14 = 194.40 : x
  2. Step 2: Convert to fraction form
    286.18/428.14 = 194.40/x
  3. Step 3: Cross multiply
    286.18x = 428.14 × 194.40
  4. Step 4: Simplify right side
    286.18x = 83,229.57
  5. Step 5: Solve for x
    x = 83,229.57/286.18
  6. Step 6: Final answer
    x = 290.83

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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.