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Finding the Fourth Proportional to 393.26, 589.34 and 162

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Solution

The fourth proportional to 393.26, 589.34 and 162 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 589.34 = 162 : x
  2. Step 2: Convert to fraction form
    393.26/589.34 = 162/x
  3. Step 3: Cross multiply
    393.26x = 589.34 × 162
  4. Step 4: Simplify right side
    393.26x = 95,473.49
  5. Step 5: Solve for x
    x = 95,473.49/393.26
  6. Step 6: Final answer
    x = 242.78

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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.