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Finding the Fourth Proportional to 329.73, 494.64 and 113.25

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Solution

The fourth proportional to 329.73, 494.64 and 113.25 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.73 : 494.64 = 113.25 : x
  2. Step 2: Convert to fraction form
    329.73/494.64 = 113.25/x
  3. Step 3: Cross multiply
    329.73x = 494.64 × 113.25
  4. Step 4: Simplify right side
    329.73x = 56,017.98
  5. Step 5: Solve for x
    x = 56,017.98/329.73
  6. Step 6: Final answer
    x = 169.89

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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.