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Finding the Fourth Proportional to 246.44, 369.06 and 185.69

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Solution

The fourth proportional to 246.44, 369.06 and 185.69 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.44 : 369.06 = 185.69 : x
  2. Step 2: Convert to fraction form
    246.44/369.06 = 185.69/x
  3. Step 3: Cross multiply
    246.44x = 369.06 × 185.69
  4. Step 4: Simplify right side
    246.44x = 68,530.98
  5. Step 5: Solve for x
    x = 68,530.98/246.44
  6. Step 6: Final answer
    x = 278.08

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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.