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Finding the Fourth Proportional to 205.73, 308.63 and 75.72

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Solution

The fourth proportional to 205.73, 308.63 and 75.72 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 308.63 = 75.72 : x
  2. Step 2: Convert to fraction form
    205.73/308.63 = 75.72/x
  3. Step 3: Cross multiply
    205.73x = 308.63 × 75.72
  4. Step 4: Simplify right side
    205.73x = 23,368.65
  5. Step 5: Solve for x
    x = 23,368.65/205.73
  6. Step 6: Final answer
    x = 113.59

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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.