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Finding the Fourth Proportional to 202.67, 303.99 and 121.33

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Solution

The fourth proportional to 202.67, 303.99 and 121.33 is: 181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.67 : 303.99 = 121.33 : x
  2. Step 2: Convert to fraction form
    202.67/303.99 = 121.33/x
  3. Step 3: Cross multiply
    202.67x = 303.99 × 121.33
  4. Step 4: Simplify right side
    202.67x = 36,883.11
  5. Step 5: Solve for x
    x = 36,883.11/202.67
  6. Step 6: Final answer
    x = 181.99

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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.