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Finding the Fourth Proportional to 247.54, 370.90 and 238.44

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Solution

The fourth proportional to 247.54, 370.90 and 238.44 is: 357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.54 : 370.90 = 238.44 : x
  2. Step 2: Convert to fraction form
    247.54/370.90 = 238.44/x
  3. Step 3: Cross multiply
    247.54x = 370.90 × 238.44
  4. Step 4: Simplify right side
    247.54x = 88,437.40
  5. Step 5: Solve for x
    x = 88,437.40/247.54
  6. Step 6: Final answer
    x = 357.27

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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.