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Finding the Fourth Proportional to 201.90, 302.97 and 133.46

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Solution

The fourth proportional to 201.90, 302.97 and 133.46 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 302.97 = 133.46 : x
  2. Step 2: Convert to fraction form
    201.90/302.97 = 133.46/x
  3. Step 3: Cross multiply
    201.90x = 302.97 × 133.46
  4. Step 4: Simplify right side
    201.90x = 40,434.38
  5. Step 5: Solve for x
    x = 40,434.38/201.90
  6. Step 6: Final answer
    x = 200.27

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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.