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Finding the Fourth Proportional to 355.14, 490.33 and 222.42

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Solution

The fourth proportional to 355.14, 490.33 and 222.42 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 490.33 = 222.42 : x
  2. Step 2: Convert to fraction form
    355.14/490.33 = 222.42/x
  3. Step 3: Cross multiply
    355.14x = 490.33 × 222.42
  4. Step 4: Simplify right side
    355.14x = 109,057.80
  5. Step 5: Solve for x
    x = 109,057.80/355.14
  6. Step 6: Final answer
    x = 307.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.