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Finding the Fourth Proportional to 247.78, 371.70 and 119.50

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Solution

The fourth proportional to 247.78, 371.70 and 119.50 is: 179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 371.70 = 119.50 : x
  2. Step 2: Convert to fraction form
    247.78/371.70 = 119.50/x
  3. Step 3: Cross multiply
    247.78x = 371.70 × 119.50
  4. Step 4: Simplify right side
    247.78x = 44,418.15
  5. Step 5: Solve for x
    x = 44,418.15/247.78
  6. Step 6: Final answer
    x = 179.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.