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Finding the Fourth Proportional to 282.51, 422.79 and 205.96

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Solution

The fourth proportional to 282.51, 422.79 and 205.96 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 422.79 = 205.96 : x
  2. Step 2: Convert to fraction form
    282.51/422.79 = 205.96/x
  3. Step 3: Cross multiply
    282.51x = 422.79 × 205.96
  4. Step 4: Simplify right side
    282.51x = 87,077.86
  5. Step 5: Solve for x
    x = 87,077.86/282.51
  6. Step 6: Final answer
    x = 308.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.