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Finding the Fourth Proportional to 282.87, 422.16 and 252.12

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Solution

The fourth proportional to 282.87, 422.16 and 252.12 is: 376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 422.16 = 252.12 : x
  2. Step 2: Convert to fraction form
    282.87/422.16 = 252.12/x
  3. Step 3: Cross multiply
    282.87x = 422.16 × 252.12
  4. Step 4: Simplify right side
    282.87x = 106,434.98
  5. Step 5: Solve for x
    x = 106,434.98/282.87
  6. Step 6: Final answer
    x = 376.27

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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.