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Finding the Fourth Proportional to 282.26, 389.26 and 188.96

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Solution

The fourth proportional to 282.26, 389.26 and 188.96 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 389.26 = 188.96 : x
  2. Step 2: Convert to fraction form
    282.26/389.26 = 188.96/x
  3. Step 3: Cross multiply
    282.26x = 389.26 × 188.96
  4. Step 4: Simplify right side
    282.26x = 73,554.57
  5. Step 5: Solve for x
    x = 73,554.57/282.26
  6. Step 6: Final answer
    x = 260.59

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