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Finding the Fourth Proportional to 230.54, 346.16 and 222.26

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Solution

The fourth proportional to 230.54, 346.16 and 222.26 is: 333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.54 : 346.16 = 222.26 : x
  2. Step 2: Convert to fraction form
    230.54/346.16 = 222.26/x
  3. Step 3: Cross multiply
    230.54x = 346.16 × 222.26
  4. Step 4: Simplify right side
    230.54x = 76,936.35
  5. Step 5: Solve for x
    x = 76,936.35/230.54
  6. Step 6: Final answer
    x = 333.73

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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.