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Finding the Fourth Proportional to 227.95, 342.27 and 218.59

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Solution

The fourth proportional to 227.95, 342.27 and 218.59 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.95 : 342.27 = 218.59 : x
  2. Step 2: Convert to fraction form
    227.95/342.27 = 218.59/x
  3. Step 3: Cross multiply
    227.95x = 342.27 × 218.59
  4. Step 4: Simplify right side
    227.95x = 74,815.94
  5. Step 5: Solve for x
    x = 74,815.94/227.95
  6. Step 6: Final answer
    x = 328.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.