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Finding the Fourth Proportional to 282.26, 389.45 and 208.44

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Solution

The fourth proportional to 282.26, 389.45 and 208.44 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 389.45 = 208.44 : x
  2. Step 2: Convert to fraction form
    282.26/389.45 = 208.44/x
  3. Step 3: Cross multiply
    282.26x = 389.45 × 208.44
  4. Step 4: Simplify right side
    282.26x = 81,177.48
  5. Step 5: Solve for x
    x = 81,177.48/282.26
  6. Step 6: Final answer
    x = 287.60

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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.