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Finding the Fourth Proportional to 201.66, 301.11 and 200.52

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Solution

The fourth proportional to 201.66, 301.11 and 200.52 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 301.11 = 200.52 : x
  2. Step 2: Convert to fraction form
    201.66/301.11 = 200.52/x
  3. Step 3: Cross multiply
    201.66x = 301.11 × 200.52
  4. Step 4: Simplify right side
    201.66x = 60,378.58
  5. Step 5: Solve for x
    x = 60,378.58/201.66
  6. Step 6: Final answer
    x = 299.41

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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.