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Finding the Fourth Proportional to 235.14, 351.34 and 198.69

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Solution

The fourth proportional to 235.14, 351.34 and 198.69 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 351.34 = 198.69 : x
  2. Step 2: Convert to fraction form
    235.14/351.34 = 198.69/x
  3. Step 3: Cross multiply
    235.14x = 351.34 × 198.69
  4. Step 4: Simplify right side
    235.14x = 69,806.75
  5. Step 5: Solve for x
    x = 69,806.75/235.14
  6. Step 6: Final answer
    x = 296.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.