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Finding the Fourth Proportional to 273.75, 377.85 and 185.36

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Solution

The fourth proportional to 273.75, 377.85 and 185.36 is: 255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 377.85 = 185.36 : x
  2. Step 2: Convert to fraction form
    273.75/377.85 = 185.36/x
  3. Step 3: Cross multiply
    273.75x = 377.85 × 185.36
  4. Step 4: Simplify right side
    273.75x = 70,038.28
  5. Step 5: Solve for x
    x = 70,038.28/273.75
  6. Step 6: Final answer
    x = 255.85

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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.