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Finding the Fourth Proportional to 202.87, 302.38 and 201.27

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Solution

The fourth proportional to 202.87, 302.38 and 201.27 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 302.38 = 201.27 : x
  2. Step 2: Convert to fraction form
    202.87/302.38 = 201.27/x
  3. Step 3: Cross multiply
    202.87x = 302.38 × 201.27
  4. Step 4: Simplify right side
    202.87x = 60,861.36
  5. Step 5: Solve for x
    x = 60,861.36/202.87
  6. Step 6: Final answer
    x = 300.01

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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.