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Finding the Fourth Proportional to 231.22, 346.83 and 94.27

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Solution

The fourth proportional to 231.22, 346.83 and 94.27 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 346.83 = 94.27 : x
  2. Step 2: Convert to fraction form
    231.22/346.83 = 94.27/x
  3. Step 3: Cross multiply
    231.22x = 346.83 × 94.27
  4. Step 4: Simplify right side
    231.22x = 32,695.03
  5. Step 5: Solve for x
    x = 32,695.03/231.22
  6. Step 6: Final answer
    x = 141.40

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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.