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Finding the Fourth Proportional to 383.74, 575.42 and 164.34

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Solution

The fourth proportional to 383.74, 575.42 and 164.34 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 575.42 = 164.34 : x
  2. Step 2: Convert to fraction form
    383.74/575.42 = 164.34/x
  3. Step 3: Cross multiply
    383.74x = 575.42 × 164.34
  4. Step 4: Simplify right side
    383.74x = 94,563.70
  5. Step 5: Solve for x
    x = 94,563.70/383.74
  6. Step 6: Final answer
    x = 246.43

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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.