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Finding the Fourth Proportional to 282.98, 422.78 and 179.44

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Solution

The fourth proportional to 282.98, 422.78 and 179.44 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.98 : 422.78 = 179.44 : x
  2. Step 2: Convert to fraction form
    282.98/422.78 = 179.44/x
  3. Step 3: Cross multiply
    282.98x = 422.78 × 179.44
  4. Step 4: Simplify right side
    282.98x = 75,861.69
  5. Step 5: Solve for x
    x = 75,861.69/282.98
  6. Step 6: Final answer
    x = 268.08

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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.