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Finding the Fourth Proportional to 286.20, 429.17 and 164.43

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Solution

The fourth proportional to 286.20, 429.17 and 164.43 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 429.17 = 164.43 : x
  2. Step 2: Convert to fraction form
    286.20/429.17 = 164.43/x
  3. Step 3: Cross multiply
    286.20x = 429.17 × 164.43
  4. Step 4: Simplify right side
    286.20x = 70,567.60
  5. Step 5: Solve for x
    x = 70,567.60/286.20
  6. Step 6: Final answer
    x = 246.57

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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.