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Finding the Fourth Proportional to 307.26, 460.15 and 191.56

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Solution

The fourth proportional to 307.26, 460.15 and 191.56 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 460.15 = 191.56 : x
  2. Step 2: Convert to fraction form
    307.26/460.15 = 191.56/x
  3. Step 3: Cross multiply
    307.26x = 460.15 × 191.56
  4. Step 4: Simplify right side
    307.26x = 88,147.96
  5. Step 5: Solve for x
    x = 88,147.96/307.26
  6. Step 6: Final answer
    x = 286.88

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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.