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Finding the Fourth Proportional to 269.63, 405.17 and 206.27

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Solution

The fourth proportional to 269.63, 405.17 and 206.27 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 405.17 = 206.27 : x
  2. Step 2: Convert to fraction form
    269.63/405.17 = 206.27/x
  3. Step 3: Cross multiply
    269.63x = 405.17 × 206.27
  4. Step 4: Simplify right side
    269.63x = 83,574.42
  5. Step 5: Solve for x
    x = 83,574.42/269.63
  6. Step 6: Final answer
    x = 309.96

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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.