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Finding the Fourth Proportional to 205.23, 308.31 and 198.75

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Solution

The fourth proportional to 205.23, 308.31 and 198.75 is: 298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 308.31 = 198.75 : x
  2. Step 2: Convert to fraction form
    205.23/308.31 = 198.75/x
  3. Step 3: Cross multiply
    205.23x = 308.31 × 198.75
  4. Step 4: Simplify right side
    205.23x = 61,277.02
  5. Step 5: Solve for x
    x = 61,277.02/205.23
  6. Step 6: Final answer
    x = 298.57

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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.