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Finding the Fourth Proportional to 274.19, 378.38 and 149.84

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Solution

The fourth proportional to 274.19, 378.38 and 149.84 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 378.38 = 149.84 : x
  2. Step 2: Convert to fraction form
    274.19/378.38 = 149.84/x
  3. Step 3: Cross multiply
    274.19x = 378.38 × 149.84
  4. Step 4: Simplify right side
    274.19x = 56,696.46
  5. Step 5: Solve for x
    x = 56,696.46/274.19
  6. Step 6: Final answer
    x = 206.78

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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.