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Finding the Fourth Proportional to 205.72, 308.44 and 114.36

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Solution

The fourth proportional to 205.72, 308.44 and 114.36 is: 171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 308.44 = 114.36 : x
  2. Step 2: Convert to fraction form
    205.72/308.44 = 114.36/x
  3. Step 3: Cross multiply
    205.72x = 308.44 × 114.36
  4. Step 4: Simplify right side
    205.72x = 35,273.20
  5. Step 5: Solve for x
    x = 35,273.20/205.72
  6. Step 6: Final answer
    x = 171.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.