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Finding the Fourth Proportional to 201.75, 302.71 and 133.57

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Solution

The fourth proportional to 201.75, 302.71 and 133.57 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.71 = 133.57 : x
  2. Step 2: Convert to fraction form
    201.75/302.71 = 133.57/x
  3. Step 3: Cross multiply
    201.75x = 302.71 × 133.57
  4. Step 4: Simplify right side
    201.75x = 40,432.97
  5. Step 5: Solve for x
    x = 40,432.97/201.75
  6. Step 6: Final answer
    x = 200.41

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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.