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Finding the Fourth Proportional to 313.44, 432.60 and 182.44

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Solution

The fourth proportional to 313.44, 432.60 and 182.44 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.60 = 182.44 : x
  2. Step 2: Convert to fraction form
    313.44/432.60 = 182.44/x
  3. Step 3: Cross multiply
    313.44x = 432.60 × 182.44
  4. Step 4: Simplify right side
    313.44x = 78,923.54
  5. Step 5: Solve for x
    x = 78,923.54/313.44
  6. Step 6: Final answer
    x = 251.80

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