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Finding the Fourth Proportional to 286.82, 429.79 and 225.70

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Solution

The fourth proportional to 286.82, 429.79 and 225.70 is: 338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.82 : 429.79 = 225.70 : x
  2. Step 2: Convert to fraction form
    286.82/429.79 = 225.70/x
  3. Step 3: Cross multiply
    286.82x = 429.79 × 225.70
  4. Step 4: Simplify right side
    286.82x = 97,003.60
  5. Step 5: Solve for x
    x = 97,003.60/286.82
  6. Step 6: Final answer
    x = 338.20

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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.