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Finding the Fourth Proportional to 274.32, 378 and 249.48

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Solution

The fourth proportional to 274.32, 378 and 249.48 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 378 = 249.48 : x
  2. Step 2: Convert to fraction form
    274.32/378 = 249.48/x
  3. Step 3: Cross multiply
    274.32x = 378 × 249.48
  4. Step 4: Simplify right side
    274.32x = 94,303.44
  5. Step 5: Solve for x
    x = 94,303.44/274.32
  6. Step 6: Final answer
    x = 343.77

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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.