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Finding the Fourth Proportional to 266.26, 398.96 and 189.37

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Solution

The fourth proportional to 266.26, 398.96 and 189.37 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.26 : 398.96 = 189.37 : x
  2. Step 2: Convert to fraction form
    266.26/398.96 = 189.37/x
  3. Step 3: Cross multiply
    266.26x = 398.96 × 189.37
  4. Step 4: Simplify right side
    266.26x = 75,550.08
  5. Step 5: Solve for x
    x = 75,550.08/266.26
  6. Step 6: Final answer
    x = 283.75

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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.