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Finding the Fourth Proportional to 286.80, 429.96 and 113.37

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Solution

The fourth proportional to 286.80, 429.96 and 113.37 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 429.96 = 113.37 : x
  2. Step 2: Convert to fraction form
    286.80/429.96 = 113.37/x
  3. Step 3: Cross multiply
    286.80x = 429.96 × 113.37
  4. Step 4: Simplify right side
    286.80x = 48,744.57
  5. Step 5: Solve for x
    x = 48,744.57/286.80
  6. Step 6: Final answer
    x = 169.96

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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.