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Finding the Fourth Proportional to 282.26, 389.52 and 182.71

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Solution

The fourth proportional to 282.26, 389.52 and 182.71 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 389.52 = 182.71 : x
  2. Step 2: Convert to fraction form
    282.26/389.52 = 182.71/x
  3. Step 3: Cross multiply
    282.26x = 389.52 × 182.71
  4. Step 4: Simplify right side
    282.26x = 71,167.75
  5. Step 5: Solve for x
    x = 71,167.75/282.26
  6. Step 6: Final answer
    x = 252.14

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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.