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Finding the Fourth Proportional to 201.96, 303.96 and 150.87

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Solution

The fourth proportional to 201.96, 303.96 and 150.87 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 303.96 = 150.87 : x
  2. Step 2: Convert to fraction form
    201.96/303.96 = 150.87/x
  3. Step 3: Cross multiply
    201.96x = 303.96 × 150.87
  4. Step 4: Simplify right side
    201.96x = 45,857.91
  5. Step 5: Solve for x
    x = 45,857.91/201.96
  6. Step 6: Final answer
    x = 227.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.