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Finding the Fourth Proportional to 273.98, 378.15 and 191.06

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Solution

The fourth proportional to 273.98, 378.15 and 191.06 is: 263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 378.15 = 191.06 : x
  2. Step 2: Convert to fraction form
    273.98/378.15 = 191.06/x
  3. Step 3: Cross multiply
    273.98x = 378.15 × 191.06
  4. Step 4: Simplify right side
    273.98x = 72,249.22
  5. Step 5: Solve for x
    x = 72,249.22/273.98
  6. Step 6: Final answer
    x = 263.70

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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.