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Finding the Fourth Proportional to 273.92, 378.16 and 186.72

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Solution

The fourth proportional to 273.92, 378.16 and 186.72 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.92 : 378.16 = 186.72 : x
  2. Step 2: Convert to fraction form
    273.92/378.16 = 186.72/x
  3. Step 3: Cross multiply
    273.92x = 378.16 × 186.72
  4. Step 4: Simplify right side
    273.92x = 70,610.04
  5. Step 5: Solve for x
    x = 70,610.04/273.92
  6. Step 6: Final answer
    x = 257.78

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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.