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Finding the Fourth Proportional to 273.57, 377.42 and 203.75

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Solution

The fourth proportional to 273.57, 377.42 and 203.75 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.57 : 377.42 = 203.75 : x
  2. Step 2: Convert to fraction form
    273.57/377.42 = 203.75/x
  3. Step 3: Cross multiply
    273.57x = 377.42 × 203.75
  4. Step 4: Simplify right side
    273.57x = 76,896.42
  5. Step 5: Solve for x
    x = 76,896.42/273.57
  6. Step 6: Final answer
    x = 281.08

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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.