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Finding the Fourth Proportional to 286.27, 429.52 and 121.78

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Solution

The fourth proportional to 286.27, 429.52 and 121.78 is: 182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.27 : 429.52 = 121.78 : x
  2. Step 2: Convert to fraction form
    286.27/429.52 = 121.78/x
  3. Step 3: Cross multiply
    286.27x = 429.52 × 121.78
  4. Step 4: Simplify right side
    286.27x = 52,304.76
  5. Step 5: Solve for x
    x = 52,304.76/286.27
  6. Step 6: Final answer
    x = 182.71

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