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Finding the Fourth Proportional to 286.11, 428.86 and 164.11

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Solution

The fourth proportional to 286.11, 428.86 and 164.11 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.11 : 428.86 = 164.11 : x
  2. Step 2: Convert to fraction form
    286.11/428.86 = 164.11/x
  3. Step 3: Cross multiply
    286.11x = 428.86 × 164.11
  4. Step 4: Simplify right side
    286.11x = 70,380.21
  5. Step 5: Solve for x
    x = 70,380.21/286.11
  6. Step 6: Final answer
    x = 245.99

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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.