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Finding the Fourth Proportional to 202.24, 300.93 and 201.55

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Solution

The fourth proportional to 202.24, 300.93 and 201.55 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 300.93 = 201.55 : x
  2. Step 2: Convert to fraction form
    202.24/300.93 = 201.55/x
  3. Step 3: Cross multiply
    202.24x = 300.93 × 201.55
  4. Step 4: Simplify right side
    202.24x = 60,652.44
  5. Step 5: Solve for x
    x = 60,652.44/202.24
  6. Step 6: Final answer
    x = 299.90

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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.