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Finding the Fourth Proportional to 235.96, 353.78 and 120.48

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Solution

The fourth proportional to 235.96, 353.78 and 120.48 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 353.78 = 120.48 : x
  2. Step 2: Convert to fraction form
    235.96/353.78 = 120.48/x
  3. Step 3: Cross multiply
    235.96x = 353.78 × 120.48
  4. Step 4: Simplify right side
    235.96x = 42,623.41
  5. Step 5: Solve for x
    x = 42,623.41/235.96
  6. Step 6: Final answer
    x = 180.64

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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.