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Finding the Fourth Proportional to 336.73, 504.97 and 120.25

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Solution

The fourth proportional to 336.73, 504.97 and 120.25 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.73 : 504.97 = 120.25 : x
  2. Step 2: Convert to fraction form
    336.73/504.97 = 120.25/x
  3. Step 3: Cross multiply
    336.73x = 504.97 × 120.25
  4. Step 4: Simplify right side
    336.73x = 60,722.64
  5. Step 5: Solve for x
    x = 60,722.64/336.73
  6. Step 6: Final answer
    x = 180.33

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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.