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Finding the Fourth Proportional to 246.73, 369.83 and 185.67

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Solution

The fourth proportional to 246.73, 369.83 and 185.67 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.73 : 369.83 = 185.67 : x
  2. Step 2: Convert to fraction form
    246.73/369.83 = 185.67/x
  3. Step 3: Cross multiply
    246.73x = 369.83 × 185.67
  4. Step 4: Simplify right side
    246.73x = 68,666.34
  5. Step 5: Solve for x
    x = 68,666.34/246.73
  6. Step 6: Final answer
    x = 278.31

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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.