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Finding the Fourth Proportional to 247.73, 371.33 and 186.67

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Solution

The fourth proportional to 247.73, 371.33 and 186.67 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.73 : 371.33 = 186.67 : x
  2. Step 2: Convert to fraction form
    247.73/371.33 = 186.67/x
  3. Step 3: Cross multiply
    247.73x = 371.33 × 186.67
  4. Step 4: Simplify right side
    247.73x = 69,316.17
  5. Step 5: Solve for x
    x = 69,316.17/247.73
  6. Step 6: Final answer
    x = 279.81

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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.