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Finding the Fourth Proportional to 286.74, 429.81 and 113.34

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Solution

The fourth proportional to 286.74, 429.81 and 113.34 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 429.81 = 113.34 : x
  2. Step 2: Convert to fraction form
    286.74/429.81 = 113.34/x
  3. Step 3: Cross multiply
    286.74x = 429.81 × 113.34
  4. Step 4: Simplify right side
    286.74x = 48,713.37
  5. Step 5: Solve for x
    x = 48,713.37/286.74
  6. Step 6: Final answer
    x = 169.88

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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.