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Finding the Fourth Proportional to 383.70, 575.14 and 164.44

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Solution

The fourth proportional to 383.70, 575.14 and 164.44 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.70 : 575.14 = 164.44 : x
  2. Step 2: Convert to fraction form
    383.70/575.14 = 164.44/x
  3. Step 3: Cross multiply
    383.70x = 575.14 × 164.44
  4. Step 4: Simplify right side
    383.70x = 94,576.02
  5. Step 5: Solve for x
    x = 94,576.02/383.70
  6. Step 6: Final answer
    x = 246.48

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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.