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Finding the Fourth Proportional to 246.04, 369.28 and 122.78

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Solution

The fourth proportional to 246.04, 369.28 and 122.78 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.04 : 369.28 = 122.78 : x
  2. Step 2: Convert to fraction form
    246.04/369.28 = 122.78/x
  3. Step 3: Cross multiply
    246.04x = 369.28 × 122.78
  4. Step 4: Simplify right side
    246.04x = 45,338.05
  5. Step 5: Solve for x
    x = 45,338.05/246.04
  6. Step 6: Final answer
    x = 184.27

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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.