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Finding the Fourth Proportional to 205.99, 309.08 and 114.76

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Solution

The fourth proportional to 205.99, 309.08 and 114.76 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 309.08 = 114.76 : x
  2. Step 2: Convert to fraction form
    205.99/309.08 = 114.76/x
  3. Step 3: Cross multiply
    205.99x = 309.08 × 114.76
  4. Step 4: Simplify right side
    205.99x = 35,470.02
  5. Step 5: Solve for x
    x = 35,470.02/205.99
  6. Step 6: Final answer
    x = 172.19

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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.