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Finding the Fourth Proportional to 233.18, 349.62 and 198.96

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Solution

The fourth proportional to 233.18, 349.62 and 198.96 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.18 : 349.62 = 198.96 : x
  2. Step 2: Convert to fraction form
    233.18/349.62 = 198.96/x
  3. Step 3: Cross multiply
    233.18x = 349.62 × 198.96
  4. Step 4: Simplify right side
    233.18x = 69,560.40
  5. Step 5: Solve for x
    x = 69,560.40/233.18
  6. Step 6: Final answer
    x = 298.32

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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.