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Finding the Fourth Proportional to 274.77, 379.17 and 150.44

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Solution

The fourth proportional to 274.77, 379.17 and 150.44 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 379.17 = 150.44 : x
  2. Step 2: Convert to fraction form
    274.77/379.17 = 150.44/x
  3. Step 3: Cross multiply
    274.77x = 379.17 × 150.44
  4. Step 4: Simplify right side
    274.77x = 57,040.44
  5. Step 5: Solve for x
    x = 57,040.44/274.77
  6. Step 6: Final answer
    x = 207.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.