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Finding the Fourth Proportional to 274.28, 378.16 and 214.48

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Solution

The fourth proportional to 274.28, 378.16 and 214.48 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 378.16 = 214.48 : x
  2. Step 2: Convert to fraction form
    274.28/378.16 = 214.48/x
  3. Step 3: Cross multiply
    274.28x = 378.16 × 214.48
  4. Step 4: Simplify right side
    274.28x = 81,107.76
  5. Step 5: Solve for x
    x = 81,107.76/274.28
  6. Step 6: Final answer
    x = 295.71

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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.