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Finding the Fourth Proportional to 273.15, 377.15 and 180.02

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Solution

The fourth proportional to 273.15, 377.15 and 180.02 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 377.15 = 180.02 : x
  2. Step 2: Convert to fraction form
    273.15/377.15 = 180.02/x
  3. Step 3: Cross multiply
    273.15x = 377.15 × 180.02
  4. Step 4: Simplify right side
    273.15x = 67,895.32
  5. Step 5: Solve for x
    x = 67,895.32/273.15
  6. Step 6: Final answer
    x = 248.57

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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.