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Finding the Fourth Proportional to 205.95, 309.15 and 114.83

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Solution

The fourth proportional to 205.95, 309.15 and 114.83 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 309.15 = 114.83 : x
  2. Step 2: Convert to fraction form
    205.95/309.15 = 114.83/x
  3. Step 3: Cross multiply
    205.95x = 309.15 × 114.83
  4. Step 4: Simplify right side
    205.95x = 35,499.31
  5. Step 5: Solve for x
    x = 35,499.31/205.95
  6. Step 6: Final answer
    x = 172.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.