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Finding the Fourth Proportional to 273.15, 376.84 and 214.37

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Solution

The fourth proportional to 273.15, 376.84 and 214.37 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 376.84 = 214.37 : x
  2. Step 2: Convert to fraction form
    273.15/376.84 = 214.37/x
  3. Step 3: Cross multiply
    273.15x = 376.84 × 214.37
  4. Step 4: Simplify right side
    273.15x = 80,783.19
  5. Step 5: Solve for x
    x = 80,783.19/273.15
  6. Step 6: Final answer
    x = 295.75

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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.