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Finding the Fourth Proportional to 202.23, 300.97 and 201.63

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Solution

The fourth proportional to 202.23, 300.97 and 201.63 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 300.97 = 201.63 : x
  2. Step 2: Convert to fraction form
    202.23/300.97 = 201.63/x
  3. Step 3: Cross multiply
    202.23x = 300.97 × 201.63
  4. Step 4: Simplify right side
    202.23x = 60,684.58
  5. Step 5: Solve for x
    x = 60,684.58/202.23
  6. Step 6: Final answer
    x = 300.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.