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Finding the Fourth Proportional to 243.06, 363.72 and 226.77

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Solution

The fourth proportional to 243.06, 363.72 and 226.77 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.06 : 363.72 = 226.77 : x
  2. Step 2: Convert to fraction form
    243.06/363.72 = 226.77/x
  3. Step 3: Cross multiply
    243.06x = 363.72 × 226.77
  4. Step 4: Simplify right side
    243.06x = 82,479.88
  5. Step 5: Solve for x
    x = 82,479.88/243.06
  6. Step 6: Final answer
    x = 339.34

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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.