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Finding the Fourth Proportional to 397.26, 548.08 and 222.56

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Solution

The fourth proportional to 397.26, 548.08 and 222.56 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 548.08 = 222.56 : x
  2. Step 2: Convert to fraction form
    397.26/548.08 = 222.56/x
  3. Step 3: Cross multiply
    397.26x = 548.08 × 222.56
  4. Step 4: Simplify right side
    397.26x = 121,980.68
  5. Step 5: Solve for x
    x = 121,980.68/397.26
  6. Step 6: Final answer
    x = 307.06

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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.