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Finding the Fourth Proportional to 201.15, 300.90 and 194.13

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Solution

The fourth proportional to 201.15, 300.90 and 194.13 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.15 : 300.90 = 194.13 : x
  2. Step 2: Convert to fraction form
    201.15/300.90 = 194.13/x
  3. Step 3: Cross multiply
    201.15x = 300.90 × 194.13
  4. Step 4: Simplify right side
    201.15x = 58,413.72
  5. Step 5: Solve for x
    x = 58,413.72/201.15
  6. Step 6: Final answer
    x = 290.40

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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.