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Finding the Fourth Proportional to 286.34, 428.63 and 164.43

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Solution

The fourth proportional to 286.34, 428.63 and 164.43 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 428.63 = 164.43 : x
  2. Step 2: Convert to fraction form
    286.34/428.63 = 164.43/x
  3. Step 3: Cross multiply
    286.34x = 428.63 × 164.43
  4. Step 4: Simplify right side
    286.34x = 70,478.81
  5. Step 5: Solve for x
    x = 70,478.81/286.34
  6. Step 6: Final answer
    x = 246.14

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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.