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Finding the Fourth Proportional to 274.24, 378.44 and 149.90

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Solution

The fourth proportional to 274.24, 378.44 and 149.90 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 378.44 = 149.90 : x
  2. Step 2: Convert to fraction form
    274.24/378.44 = 149.90/x
  3. Step 3: Cross multiply
    274.24x = 378.44 × 149.90
  4. Step 4: Simplify right side
    274.24x = 56,728.16
  5. Step 5: Solve for x
    x = 56,728.16/274.24
  6. Step 6: Final answer
    x = 206.86

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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.