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Finding the Fourth Proportional to 205.79, 308.61 and 84.02

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Solution

The fourth proportional to 205.79, 308.61 and 84.02 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 308.61 = 84.02 : x
  2. Step 2: Convert to fraction form
    205.79/308.61 = 84.02/x
  3. Step 3: Cross multiply
    205.79x = 308.61 × 84.02
  4. Step 4: Simplify right side
    205.79x = 25,927.87
  5. Step 5: Solve for x
    x = 25,927.87/205.79
  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.