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Finding the Fourth Proportional to 273.95, 378.14 and 162

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Solution

The fourth proportional to 273.95, 378.14 and 162 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.95 : 378.14 = 162 : x
  2. Step 2: Convert to fraction form
    273.95/378.14 = 162/x
  3. Step 3: Cross multiply
    273.95x = 378.14 × 162
  4. Step 4: Simplify right side
    273.95x = 61,257.87
  5. Step 5: Solve for x
    x = 61,257.87/273.95
  6. Step 6: Final answer
    x = 223.61

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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.