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Finding the Fourth Proportional to 246.36, 367.99 and 180.78

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Solution

The fourth proportional to 246.36, 367.99 and 180.78 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.36 : 367.99 = 180.78 : x
  2. Step 2: Convert to fraction form
    246.36/367.99 = 180.78/x
  3. Step 3: Cross multiply
    246.36x = 367.99 × 180.78
  4. Step 4: Simplify right side
    246.36x = 66,525.23
  5. Step 5: Solve for x
    x = 66,525.23/246.36
  6. Step 6: Final answer
    x = 270.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.