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Finding the Fourth Proportional to 286.82, 430.16 and 205.82

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Solution

The fourth proportional to 286.82, 430.16 and 205.82 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.82 : 430.16 = 205.82 : x
  2. Step 2: Convert to fraction form
    286.82/430.16 = 205.82/x
  3. Step 3: Cross multiply
    286.82x = 430.16 × 205.82
  4. Step 4: Simplify right side
    286.82x = 88,535.53
  5. Step 5: Solve for x
    x = 88,535.53/286.82
  6. Step 6: Final answer
    x = 308.68

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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.