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Finding the Fourth Proportional to 201.62, 302.09 and 194.03

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Solution

The fourth proportional to 201.62, 302.09 and 194.03 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 302.09 = 194.03 : x
  2. Step 2: Convert to fraction form
    201.62/302.09 = 194.03/x
  3. Step 3: Cross multiply
    201.62x = 302.09 × 194.03
  4. Step 4: Simplify right side
    201.62x = 58,614.63
  5. Step 5: Solve for x
    x = 58,614.63/201.62
  6. Step 6: Final answer
    x = 290.72

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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.