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Finding the Fourth Proportional to 230.80, 344.56 and 222.28

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Solution

The fourth proportional to 230.80, 344.56 and 222.28 is: 331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 344.56 = 222.28 : x
  2. Step 2: Convert to fraction form
    230.80/344.56 = 222.28/x
  3. Step 3: Cross multiply
    230.80x = 344.56 × 222.28
  4. Step 4: Simplify right side
    230.80x = 76,588.80
  5. Step 5: Solve for x
    x = 76,588.80/230.80
  6. Step 6: Final answer
    x = 331.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.