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Finding the Fourth Proportional to 397.22, 548.16 and 222.60

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Solution

The fourth proportional to 397.22, 548.16 and 222.60 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 548.16 = 222.60 : x
  2. Step 2: Convert to fraction form
    397.22/548.16 = 222.60/x
  3. Step 3: Cross multiply
    397.22x = 548.16 × 222.60
  4. Step 4: Simplify right side
    397.22x = 122,020.42
  5. Step 5: Solve for x
    x = 122,020.42/397.22
  6. Step 6: Final answer
    x = 307.19

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