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Finding the Fourth Proportional to 282.92, 423.66 and 251.96

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Solution

The fourth proportional to 282.92, 423.66 and 251.96 is: 377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 423.66 = 251.96 : x
  2. Step 2: Convert to fraction form
    282.92/423.66 = 251.96/x
  3. Step 3: Cross multiply
    282.92x = 423.66 × 251.96
  4. Step 4: Simplify right side
    282.92x = 106,745.37
  5. Step 5: Solve for x
    x = 106,745.37/282.92
  6. Step 6: Final answer
    x = 377.30

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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.