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Finding the Fourth Proportional to 205.87, 308.53 and 84.06

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Solution

The fourth proportional to 205.87, 308.53 and 84.06 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.87 : 308.53 = 84.06 : x
  2. Step 2: Convert to fraction form
    205.87/308.53 = 84.06/x
  3. Step 3: Cross multiply
    205.87x = 308.53 × 84.06
  4. Step 4: Simplify right side
    205.87x = 25,936.24
  5. Step 5: Solve for x
    x = 25,936.24/205.87
  6. Step 6: Final answer
    x = 125.99

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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.