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Finding the Fourth Proportional to 201.99, 300.84 and 194.82

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Solution

The fourth proportional to 201.99, 300.84 and 194.82 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 300.84 = 194.82 : x
  2. Step 2: Convert to fraction form
    201.99/300.84 = 194.82/x
  3. Step 3: Cross multiply
    201.99x = 300.84 × 194.82
  4. Step 4: Simplify right side
    201.99x = 58,608.76
  5. Step 5: Solve for x
    x = 58,608.76/201.99
  6. Step 6: Final answer
    x = 290.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.