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Finding the Fourth Proportional to 244.96, 365.92 and 180.96

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Solution

The fourth proportional to 244.96, 365.92 and 180.96 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.96 : 365.92 = 180.96 : x
  2. Step 2: Convert to fraction form
    244.96/365.92 = 180.96/x
  3. Step 3: Cross multiply
    244.96x = 365.92 × 180.96
  4. Step 4: Simplify right side
    244.96x = 66,216.88
  5. Step 5: Solve for x
    x = 66,216.88/244.96
  6. Step 6: Final answer
    x = 270.32

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Why These Related Problems?

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