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Finding the Fourth Proportional to 286.06, 428.34 and 164.20

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Solution

The fourth proportional to 286.06, 428.34 and 164.20 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.06 : 428.34 = 164.20 : x
  2. Step 2: Convert to fraction form
    286.06/428.34 = 164.20/x
  3. Step 3: Cross multiply
    286.06x = 428.34 × 164.20
  4. Step 4: Simplify right side
    286.06x = 70,333.43
  5. Step 5: Solve for x
    x = 70,333.43/286.06
  6. Step 6: Final answer
    x = 245.87

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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.