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Finding the Fourth Proportional to 286.44, 429.67 and 164.57

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Solution

The fourth proportional to 286.44, 429.67 and 164.57 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 429.67 = 164.57 : x
  2. Step 2: Convert to fraction form
    286.44/429.67 = 164.57/x
  3. Step 3: Cross multiply
    286.44x = 429.67 × 164.57
  4. Step 4: Simplify right side
    286.44x = 70,708.85
  5. Step 5: Solve for x
    x = 70,708.85/286.44
  6. Step 6: Final answer
    x = 246.86

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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.