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Finding the Fourth Proportional to 243.99, 365.99 and 180.39

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Solution

The fourth proportional to 243.99, 365.99 and 180.39 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.99 : 365.99 = 180.39 : x
  2. Step 2: Convert to fraction form
    243.99/365.99 = 180.39/x
  3. Step 3: Cross multiply
    243.99x = 365.99 × 180.39
  4. Step 4: Simplify right side
    243.99x = 66,020.03
  5. Step 5: Solve for x
    x = 66,020.03/243.99
  6. Step 6: Final answer
    x = 270.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.