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Finding the Fourth Proportional to 274.33, 378.15 and 186.85

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Solution

The fourth proportional to 274.33, 378.15 and 186.85 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.33 : 378.15 = 186.85 : x
  2. Step 2: Convert to fraction form
    274.33/378.15 = 186.85/x
  3. Step 3: Cross multiply
    274.33x = 378.15 × 186.85
  4. Step 4: Simplify right side
    274.33x = 70,657.33
  5. Step 5: Solve for x
    x = 70,657.33/274.33
  6. Step 6: Final answer
    x = 257.56

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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.