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Finding the Fourth Proportional to 201.72, 302.27 and 190.79

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Solution

The fourth proportional to 201.72, 302.27 and 190.79 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 302.27 = 190.79 : x
  2. Step 2: Convert to fraction form
    201.72/302.27 = 190.79/x
  3. Step 3: Cross multiply
    201.72x = 302.27 × 190.79
  4. Step 4: Simplify right side
    201.72x = 57,667.63
  5. Step 5: Solve for x
    x = 57,667.63/201.72
  6. Step 6: Final answer
    x = 285.88

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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.