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Finding the Fourth Proportional to 286.40, 428.78 and 164.46

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Solution

The fourth proportional to 286.40, 428.78 and 164.46 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 428.78 = 164.46 : x
  2. Step 2: Convert to fraction form
    286.40/428.78 = 164.46/x
  3. Step 3: Cross multiply
    286.40x = 428.78 × 164.46
  4. Step 4: Simplify right side
    286.40x = 70,517.16
  5. Step 5: Solve for x
    x = 70,517.16/286.40
  6. Step 6: Final answer
    x = 246.22

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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.