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Finding the Fourth Proportional to 273.50, 376.80 and 203.44

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Solution

The fourth proportional to 273.50, 376.80 and 203.44 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.50 : 376.80 = 203.44 : x
  2. Step 2: Convert to fraction form
    273.50/376.80 = 203.44/x
  3. Step 3: Cross multiply
    273.50x = 376.80 × 203.44
  4. Step 4: Simplify right side
    273.50x = 76,656.19
  5. Step 5: Solve for x
    x = 76,656.19/273.50
  6. Step 6: Final answer
    x = 280.28

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