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Finding the Fourth Proportional to 198.14, 296.69 and 159.41

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Solution

The fourth proportional to 198.14, 296.69 and 159.41 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 296.69 = 159.41 : x
  2. Step 2: Convert to fraction form
    198.14/296.69 = 159.41/x
  3. Step 3: Cross multiply
    198.14x = 296.69 × 159.41
  4. Step 4: Simplify right side
    198.14x = 47,293.07
  5. Step 5: Solve for x
    x = 47,293.07/198.14
  6. Step 6: Final answer
    x = 238.69

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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.