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Finding the Fourth Proportional to 286.11, 429.25 and 141.73

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Solution

The fourth proportional to 286.11, 429.25 and 141.73 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.11 : 429.25 = 141.73 : x
  2. Step 2: Convert to fraction form
    286.11/429.25 = 141.73/x
  3. Step 3: Cross multiply
    286.11x = 429.25 × 141.73
  4. Step 4: Simplify right side
    286.11x = 60,835.46
  5. Step 5: Solve for x
    x = 60,835.46/286.11
  6. Step 6: Final answer
    x = 212.63

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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.