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Finding the Fourth Proportional to 274.25, 378.54 and 185.86

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Solution

The fourth proportional to 274.25, 378.54 and 185.86 is: 256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 378.54 = 185.86 : x
  2. Step 2: Convert to fraction form
    274.25/378.54 = 185.86/x
  3. Step 3: Cross multiply
    274.25x = 378.54 × 185.86
  4. Step 4: Simplify right side
    274.25x = 70,355.44
  5. Step 5: Solve for x
    x = 70,355.44/274.25
  6. Step 6: Final answer
    x = 256.54

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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.