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Finding the Fourth Proportional to 202.27, 303.58 and 111.05

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Solution

The fourth proportional to 202.27, 303.58 and 111.05 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 303.58 = 111.05 : x
  2. Step 2: Convert to fraction form
    202.27/303.58 = 111.05/x
  3. Step 3: Cross multiply
    202.27x = 303.58 × 111.05
  4. Step 4: Simplify right side
    202.27x = 33,712.56
  5. Step 5: Solve for x
    x = 33,712.56/202.27
  6. Step 6: Final answer
    x = 166.67

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Why These Related Problems?

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