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Finding the Fourth Proportional to 269.63, 403.73 and 218.46

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Solution

The fourth proportional to 269.63, 403.73 and 218.46 is: 327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 403.73 = 218.46 : x
  2. Step 2: Convert to fraction form
    269.63/403.73 = 218.46/x
  3. Step 3: Cross multiply
    269.63x = 403.73 × 218.46
  4. Step 4: Simplify right side
    269.63x = 88,198.86
  5. Step 5: Solve for x
    x = 88,198.86/269.63
  6. Step 6: Final answer
    x = 327.11

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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.