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Finding the Fourth Proportional to 273.03, 376.86 and 203.16

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Solution

The fourth proportional to 273.03, 376.86 and 203.16 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.03 : 376.86 = 203.16 : x
  2. Step 2: Convert to fraction form
    273.03/376.86 = 203.16/x
  3. Step 3: Cross multiply
    273.03x = 376.86 × 203.16
  4. Step 4: Simplify right side
    273.03x = 76,562.88
  5. Step 5: Solve for x
    x = 76,562.88/273.03
  6. Step 6: Final answer
    x = 280.42

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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.