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Finding the Fourth Proportional to 243.52, 364.44 and 226.40

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Solution

The fourth proportional to 243.52, 364.44 and 226.40 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 364.44 = 226.40 : x
  2. Step 2: Convert to fraction form
    243.52/364.44 = 226.40/x
  3. Step 3: Cross multiply
    243.52x = 364.44 × 226.40
  4. Step 4: Simplify right side
    243.52x = 82,509.22
  5. Step 5: Solve for x
    x = 82,509.22/243.52
  6. Step 6: Final answer
    x = 338.82

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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.