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Finding the Fourth Proportional to 336.87, 504.97 and 120.31

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Solution

The fourth proportional to 336.87, 504.97 and 120.31 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.87 : 504.97 = 120.31 : x
  2. Step 2: Convert to fraction form
    336.87/504.97 = 120.31/x
  3. Step 3: Cross multiply
    336.87x = 504.97 × 120.31
  4. Step 4: Simplify right side
    336.87x = 60,751.38
  5. Step 5: Solve for x
    x = 60,751.38/336.87
  6. Step 6: Final answer
    x = 180.34

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