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Finding the Fourth Proportional to 202.85, 303.91 and 106.73

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Solution

The fourth proportional to 202.85, 303.91 and 106.73 is: 159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.85 : 303.91 = 106.73 : x
  2. Step 2: Convert to fraction form
    202.85/303.91 = 106.73/x
  3. Step 3: Cross multiply
    202.85x = 303.91 × 106.73
  4. Step 4: Simplify right side
    202.85x = 32,436.31
  5. Step 5: Solve for x
    x = 32,436.31/202.85
  6. Step 6: Final answer
    x = 159.90

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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.