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Finding the Fourth Proportional to 286.33, 429.49 and 193.83

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Solution

The fourth proportional to 286.33, 429.49 and 193.83 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.33 : 429.49 = 193.83 : x
  2. Step 2: Convert to fraction form
    286.33/429.49 = 193.83/x
  3. Step 3: Cross multiply
    286.33x = 429.49 × 193.83
  4. Step 4: Simplify right side
    286.33x = 83,246.68
  5. Step 5: Solve for x
    x = 83,246.68/286.33
  6. Step 6: Final answer
    x = 290.74

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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.