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Finding the Fourth Proportional to 305.53, 422.19 and 218.05

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Solution

The fourth proportional to 305.53, 422.19 and 218.05 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 422.19 = 218.05 : x
  2. Step 2: Convert to fraction form
    305.53/422.19 = 218.05/x
  3. Step 3: Cross multiply
    305.53x = 422.19 × 218.05
  4. Step 4: Simplify right side
    305.53x = 92,058.53
  5. Step 5: Solve for x
    x = 92,058.53/305.53
  6. Step 6: Final answer
    x = 301.31

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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.