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Finding the Fourth Proportional to 202.27, 302.73 and 149.22

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Solution

The fourth proportional to 202.27, 302.73 and 149.22 is: 223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 302.73 = 149.22 : x
  2. Step 2: Convert to fraction form
    202.27/302.73 = 149.22/x
  3. Step 3: Cross multiply
    202.27x = 302.73 × 149.22
  4. Step 4: Simplify right side
    202.27x = 45,173.37
  5. Step 5: Solve for x
    x = 45,173.37/202.27
  6. Step 6: Final answer
    x = 223.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.