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Finding the Fourth Proportional to 269.90, 405.05 and 217.96

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Solution

The fourth proportional to 269.90, 405.05 and 217.96 is: 327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 405.05 = 217.96 : x
  2. Step 2: Convert to fraction form
    269.90/405.05 = 217.96/x
  3. Step 3: Cross multiply
    269.90x = 405.05 × 217.96
  4. Step 4: Simplify right side
    269.90x = 88,284.70
  5. Step 5: Solve for x
    x = 88,284.70/269.90
  6. Step 6: Final answer
    x = 327.10

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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.