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Finding the Fourth Proportional to 202.23, 303.06 and 110.79

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Solution

The fourth proportional to 202.23, 303.06 and 110.79 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 303.06 = 110.79 : x
  2. Step 2: Convert to fraction form
    202.23/303.06 = 110.79/x
  3. Step 3: Cross multiply
    202.23x = 303.06 × 110.79
  4. Step 4: Simplify right side
    202.23x = 33,576.02
  5. Step 5: Solve for x
    x = 33,576.02/202.23
  6. Step 6: Final answer
    x = 166.03

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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.