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Finding the Fourth Proportional to 244.71, 367.11 and 164.34

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Solution

The fourth proportional to 244.71, 367.11 and 164.34 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.71 : 367.11 = 164.34 : x
  2. Step 2: Convert to fraction form
    244.71/367.11 = 164.34/x
  3. Step 3: Cross multiply
    244.71x = 367.11 × 164.34
  4. Step 4: Simplify right side
    244.71x = 60,330.86
  5. Step 5: Solve for x
    x = 60,330.86/244.71
  6. Step 6: Final answer
    x = 246.54

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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.