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Finding the Fourth Proportional to 202.06, 276.83 and 192.73

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Solution

The fourth proportional to 202.06, 276.83 and 192.73 is: 264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 276.83 = 192.73 : x
  2. Step 2: Convert to fraction form
    202.06/276.83 = 192.73/x
  3. Step 3: Cross multiply
    202.06x = 276.83 × 192.73
  4. Step 4: Simplify right side
    202.06x = 53,353.45
  5. Step 5: Solve for x
    x = 53,353.45/202.06
  6. Step 6: Final answer
    x = 264.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.