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Finding the Fourth Proportional to 274.22, 378.41 and 149.88

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Solution

The fourth proportional to 274.22, 378.41 and 149.88 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 378.41 = 149.88 : x
  2. Step 2: Convert to fraction form
    274.22/378.41 = 149.88/x
  3. Step 3: Cross multiply
    274.22x = 378.41 × 149.88
  4. Step 4: Simplify right side
    274.22x = 56,717.46
  5. Step 5: Solve for x
    x = 56,717.46/274.22
  6. Step 6: Final answer
    x = 206.83

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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.