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Finding the Fourth Proportional to 286.25, 429.02 and 121.71

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Solution

The fourth proportional to 286.25, 429.02 and 121.71 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 429.02 = 121.71 : x
  2. Step 2: Convert to fraction form
    286.25/429.02 = 121.71/x
  3. Step 3: Cross multiply
    286.25x = 429.02 × 121.71
  4. Step 4: Simplify right side
    286.25x = 52,215.42
  5. Step 5: Solve for x
    x = 52,215.42/286.25
  6. Step 6: Final answer
    x = 182.42

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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.