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Finding the Fourth Proportional to 393.51, 589.92 and 198.26

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Solution

The fourth proportional to 393.51, 589.92 and 198.26 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.51 : 589.92 = 198.26 : x
  2. Step 2: Convert to fraction form
    393.51/589.92 = 198.26/x
  3. Step 3: Cross multiply
    393.51x = 589.92 × 198.26
  4. Step 4: Simplify right side
    393.51x = 116,957.54
  5. Step 5: Solve for x
    x = 116,957.54/393.51
  6. Step 6: Final answer
    x = 297.22

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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.