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Finding the Fourth Proportional to 205.31, 308.11 and 114.08

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Solution

The fourth proportional to 205.31, 308.11 and 114.08 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 308.11 = 114.08 : x
  2. Step 2: Convert to fraction form
    205.31/308.11 = 114.08/x
  3. Step 3: Cross multiply
    205.31x = 308.11 × 114.08
  4. Step 4: Simplify right side
    205.31x = 35,148.95
  5. Step 5: Solve for x
    x = 35,148.95/205.31
  6. Step 6: Final answer
    x = 171.20

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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.