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Finding the Fourth Proportional to 291.73, 402.83 and 198.67

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Solution

The fourth proportional to 291.73, 402.83 and 198.67 is: 274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.73 : 402.83 = 198.67 : x
  2. Step 2: Convert to fraction form
    291.73/402.83 = 198.67/x
  3. Step 3: Cross multiply
    291.73x = 402.83 × 198.67
  4. Step 4: Simplify right side
    291.73x = 80,030.24
  5. Step 5: Solve for x
    x = 80,030.24/291.73
  6. Step 6: Final answer
    x = 274.33

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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.