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Finding the Fourth Proportional to 286.12, 428.78 and 164.22

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Solution

The fourth proportional to 286.12, 428.78 and 164.22 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 428.78 = 164.22 : x
  2. Step 2: Convert to fraction form
    286.12/428.78 = 164.22/x
  3. Step 3: Cross multiply
    286.12x = 428.78 × 164.22
  4. Step 4: Simplify right side
    286.12x = 70,414.25
  5. Step 5: Solve for x
    x = 70,414.25/286.12
  6. Step 6: Final answer
    x = 246.10

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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.