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Finding the Fourth Proportional to 273.98, 378.02 and 185.51

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Solution

The fourth proportional to 273.98, 378.02 and 185.51 is: 255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 378.02 = 185.51 : x
  2. Step 2: Convert to fraction form
    273.98/378.02 = 185.51/x
  3. Step 3: Cross multiply
    273.98x = 378.02 × 185.51
  4. Step 4: Simplify right side
    273.98x = 70,125.77
  5. Step 5: Solve for x
    x = 70,125.77/273.98
  6. Step 6: Final answer
    x = 255.95

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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.