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Finding the Fourth Proportional to 230.81, 346.19 and 68.48

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Solution

The fourth proportional to 230.81, 346.19 and 68.48 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 346.19 = 68.48 : x
  2. Step 2: Convert to fraction form
    230.81/346.19 = 68.48/x
  3. Step 3: Cross multiply
    230.81x = 346.19 × 68.48
  4. Step 4: Simplify right side
    230.81x = 23,705.02
  5. Step 5: Solve for x
    x = 23,705.02/230.81
  6. Step 6: Final answer
    x = 102.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.