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Finding the Fourth Proportional to 282.86, 389.97 and 204.29

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Solution

The fourth proportional to 282.86, 389.97 and 204.29 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.86 : 389.97 = 204.29 : x
  2. Step 2: Convert to fraction form
    282.86/389.97 = 204.29/x
  3. Step 3: Cross multiply
    282.86x = 389.97 × 204.29
  4. Step 4: Simplify right side
    282.86x = 79,665.02
  5. Step 5: Solve for x
    x = 79,665.02/282.86
  6. Step 6: Final answer
    x = 281.65

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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.