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Finding the Fourth Proportional to 243.26, 364.82 and 106.27

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Solution

The fourth proportional to 243.26, 364.82 and 106.27 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.26 : 364.82 = 106.27 : x
  2. Step 2: Convert to fraction form
    243.26/364.82 = 106.27/x
  3. Step 3: Cross multiply
    243.26x = 364.82 × 106.27
  4. Step 4: Simplify right side
    243.26x = 38,769.42
  5. Step 5: Solve for x
    x = 38,769.42/243.26
  6. Step 6: Final answer
    x = 159.37

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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.