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Finding the Fourth Proportional to 252.26, 377.69 and 191.20

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Solution

The fourth proportional to 252.26, 377.69 and 191.20 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.26 : 377.69 = 191.20 : x
  2. Step 2: Convert to fraction form
    252.26/377.69 = 191.20/x
  3. Step 3: Cross multiply
    252.26x = 377.69 × 191.20
  4. Step 4: Simplify right side
    252.26x = 72,214.33
  5. Step 5: Solve for x
    x = 72,214.33/252.26
  6. Step 6: Final answer
    x = 286.27

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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.