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Finding the Fourth Proportional to 393.18, 589.97 and 162.14

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Solution

The fourth proportional to 393.18, 589.97 and 162.14 is: 243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 589.97 = 162.14 : x
  2. Step 2: Convert to fraction form
    393.18/589.97 = 162.14/x
  3. Step 3: Cross multiply
    393.18x = 589.97 × 162.14
  4. Step 4: Simplify right side
    393.18x = 95,653.98
  5. Step 5: Solve for x
    x = 95,653.98/393.18
  6. Step 6: Final answer
    x = 243.28

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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.