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Finding the Fourth Proportional to 282.34, 422.83 and 195.43

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Solution

The fourth proportional to 282.34, 422.83 and 195.43 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.34 : 422.83 = 195.43 : x
  2. Step 2: Convert to fraction form
    282.34/422.83 = 195.43/x
  3. Step 3: Cross multiply
    282.34x = 422.83 × 195.43
  4. Step 4: Simplify right side
    282.34x = 82,634.88
  5. Step 5: Solve for x
    x = 82,634.88/282.34
  6. Step 6: Final answer
    x = 292.67

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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.