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Finding the Fourth Proportional to 269.45, 403.83 and 115.19

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Solution

The fourth proportional to 269.45, 403.83 and 115.19 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.45 : 403.83 = 115.19 : x
  2. Step 2: Convert to fraction form
    269.45/403.83 = 115.19/x
  3. Step 3: Cross multiply
    269.45x = 403.83 × 115.19
  4. Step 4: Simplify right side
    269.45x = 46,518.78
  5. Step 5: Solve for x
    x = 46,518.78/269.45
  6. Step 6: Final answer
    x = 172.64

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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.