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Finding the Fourth Proportional to 205.95, 308.66 and 84.07

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Solution

The fourth proportional to 205.95, 308.66 and 84.07 is: 126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 308.66 = 84.07 : x
  2. Step 2: Convert to fraction form
    205.95/308.66 = 84.07/x
  3. Step 3: Cross multiply
    205.95x = 308.66 × 84.07
  4. Step 4: Simplify right side
    205.95x = 25,949.59
  5. Step 5: Solve for x
    x = 25,949.59/205.95
  6. Step 6: Final answer
    x = 126.00

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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.