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Finding the Fourth Proportional to 230.85, 346.32 and 68.54

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Solution

The fourth proportional to 230.85, 346.32 and 68.54 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 346.32 = 68.54 : x
  2. Step 2: Convert to fraction form
    230.85/346.32 = 68.54/x
  3. Step 3: Cross multiply
    230.85x = 346.32 × 68.54
  4. Step 4: Simplify right side
    230.85x = 23,735.04
  5. Step 5: Solve for x
    x = 23,735.04/230.85
  6. Step 6: Final answer
    x = 102.82

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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.