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Finding the Fourth Proportional to 202.33, 303.49 and 161.83

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Solution

The fourth proportional to 202.33, 303.49 and 161.83 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.33 : 303.49 = 161.83 : x
  2. Step 2: Convert to fraction form
    202.33/303.49 = 161.83/x
  3. Step 3: Cross multiply
    202.33x = 303.49 × 161.83
  4. Step 4: Simplify right side
    202.33x = 49,113.79
  5. Step 5: Solve for x
    x = 49,113.79/202.33
  6. Step 6: Final answer
    x = 242.74

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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.