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Finding the Fourth Proportional to 202.27, 302.83 and 133.64

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Solution

The fourth proportional to 202.27, 302.83 and 133.64 is: 200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 302.83 = 133.64 : x
  2. Step 2: Convert to fraction form
    202.27/302.83 = 133.64/x
  3. Step 3: Cross multiply
    202.27x = 302.83 × 133.64
  4. Step 4: Simplify right side
    202.27x = 40,470.20
  5. Step 5: Solve for x
    x = 40,470.20/202.27
  6. Step 6: Final answer
    x = 200.08

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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.