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Finding the Fourth Proportional to 282.02, 422.93 and 191.27

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Solution

The fourth proportional to 282.02, 422.93 and 191.27 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 422.93 = 191.27 : x
  2. Step 2: Convert to fraction form
    282.02/422.93 = 191.27/x
  3. Step 3: Cross multiply
    282.02x = 422.93 × 191.27
  4. Step 4: Simplify right side
    282.02x = 80,890.75
  5. Step 5: Solve for x
    x = 80,890.75/282.02
  6. Step 6: Final answer
    x = 286.83

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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.