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Finding the Fourth Proportional to 282.41, 389.72 and 182.85

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Solution

The fourth proportional to 282.41, 389.72 and 182.85 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.72 = 182.85 : x
  2. Step 2: Convert to fraction form
    282.41/389.72 = 182.85/x
  3. Step 3: Cross multiply
    282.41x = 389.72 × 182.85
  4. Step 4: Simplify right side
    282.41x = 71,260.30
  5. Step 5: Solve for x
    x = 71,260.30/282.41
  6. Step 6: Final answer
    x = 252.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.