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Finding the Fourth Proportional to 233.36, 349.49 and 198.27

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Solution

The fourth proportional to 233.36, 349.49 and 198.27 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 349.49 = 198.27 : x
  2. Step 2: Convert to fraction form
    233.36/349.49 = 198.27/x
  3. Step 3: Cross multiply
    233.36x = 349.49 × 198.27
  4. Step 4: Simplify right side
    233.36x = 69,293.88
  5. Step 5: Solve for x
    x = 69,293.88/233.36
  6. Step 6: Final answer
    x = 296.94

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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.