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Finding the Fourth Proportional to 273.02, 376.83 and 203.31

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Solution

The fourth proportional to 273.02, 376.83 and 203.31 is: 280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.02 : 376.83 = 203.31 : x
  2. Step 2: Convert to fraction form
    273.02/376.83 = 203.31/x
  3. Step 3: Cross multiply
    273.02x = 376.83 × 203.31
  4. Step 4: Simplify right side
    273.02x = 76,613.31
  5. Step 5: Solve for x
    x = 76,613.31/273.02
  6. Step 6: Final answer
    x = 280.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.