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Finding the Fourth Proportional to 231.63, 346.62 and 195.99

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Solution

The fourth proportional to 231.63, 346.62 and 195.99 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.63 : 346.62 = 195.99 : x
  2. Step 2: Convert to fraction form
    231.63/346.62 = 195.99/x
  3. Step 3: Cross multiply
    231.63x = 346.62 × 195.99
  4. Step 4: Simplify right side
    231.63x = 67,934.05
  5. Step 5: Solve for x
    x = 67,934.05/231.63
  6. Step 6: Final answer
    x = 293.29

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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.