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Finding the Fourth Proportional to 235.40, 353.25 and 119.96

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Solution

The fourth proportional to 235.40, 353.25 and 119.96 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 353.25 = 119.96 : x
  2. Step 2: Convert to fraction form
    235.40/353.25 = 119.96/x
  3. Step 3: Cross multiply
    235.40x = 353.25 × 119.96
  4. Step 4: Simplify right side
    235.40x = 42,375.87
  5. Step 5: Solve for x
    x = 42,375.87/235.40
  6. Step 6: Final answer
    x = 180.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.