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Finding the Fourth Proportional to 135.43, 203.69 and 119.23

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Solution

The fourth proportional to 135.43, 203.69 and 119.23 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.43 : 203.69 = 119.23 : x
  2. Step 2: Convert to fraction form
    135.43/203.69 = 119.23/x
  3. Step 3: Cross multiply
    135.43x = 203.69 × 119.23
  4. Step 4: Simplify right side
    135.43x = 24,285.96
  5. Step 5: Solve for x
    x = 24,285.96/135.43
  6. Step 6: Final answer
    x = 179.32

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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.