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Finding the Fourth Proportional to 198.69, 274.29 and 159.21

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Solution

The fourth proportional to 198.69, 274.29 and 159.21 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 274.29 = 159.21 : x
  2. Step 2: Convert to fraction form
    198.69/274.29 = 159.21/x
  3. Step 3: Cross multiply
    198.69x = 274.29 × 159.21
  4. Step 4: Simplify right side
    198.69x = 43,669.71
  5. Step 5: Solve for x
    x = 43,669.71/198.69
  6. Step 6: Final answer
    x = 219.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.