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Finding the Fourth Proportional to 273.24, 376.77 and 203.43

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Solution

The fourth proportional to 273.24, 376.77 and 203.43 is: 280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 376.77 = 203.43 : x
  2. Step 2: Convert to fraction form
    273.24/376.77 = 203.43/x
  3. Step 3: Cross multiply
    273.24x = 376.77 × 203.43
  4. Step 4: Simplify right side
    273.24x = 76,646.32
  5. Step 5: Solve for x
    x = 76,646.32/273.24
  6. Step 6: Final answer
    x = 280.51

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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.