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Finding the Fourth Proportional to 286.15, 429.23 and 194.95

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Solution

The fourth proportional to 286.15, 429.23 and 194.95 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.15 : 429.23 = 194.95 : x
  2. Step 2: Convert to fraction form
    286.15/429.23 = 194.95/x
  3. Step 3: Cross multiply
    286.15x = 429.23 × 194.95
  4. Step 4: Simplify right side
    286.15x = 83,677.41
  5. Step 5: Solve for x
    x = 83,677.41/286.15
  6. Step 6: Final answer
    x = 292.43

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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.