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Finding the Fourth Proportional to 174.67, 240.84 and 119.44

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Solution

The fourth proportional to 174.67, 240.84 and 119.44 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.67 : 240.84 = 119.44 : x
  2. Step 2: Convert to fraction form
    174.67/240.84 = 119.44/x
  3. Step 3: Cross multiply
    174.67x = 240.84 × 119.44
  4. Step 4: Simplify right side
    174.67x = 28,765.93
  5. Step 5: Solve for x
    x = 28,765.93/174.67
  6. Step 6: Final answer
    x = 164.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.