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Finding the Fourth Proportional to 305.99, 422.11 and 222.97

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Solution

The fourth proportional to 305.99, 422.11 and 222.97 is: 307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 422.11 = 222.97 : x
  2. Step 2: Convert to fraction form
    305.99/422.11 = 222.97/x
  3. Step 3: Cross multiply
    305.99x = 422.11 × 222.97
  4. Step 4: Simplify right side
    305.99x = 94,117.87
  5. Step 5: Solve for x
    x = 94,117.87/305.99
  6. Step 6: Final answer
    x = 307.58

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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.