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Finding the Fourth Proportional to 274.94, 379.41 and 150.60

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Solution

The fourth proportional to 274.94, 379.41 and 150.60 is: 207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 379.41 = 150.60 : x
  2. Step 2: Convert to fraction form
    274.94/379.41 = 150.60/x
  3. Step 3: Cross multiply
    274.94x = 379.41 × 150.60
  4. Step 4: Simplify right side
    274.94x = 57,137.87
  5. Step 5: Solve for x
    x = 57,137.87/274.94
  6. Step 6: Final answer
    x = 207.82

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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.