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Finding the Fourth Proportional to 286.11, 428.85 and 164.40

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Solution

The fourth proportional to 286.11, 428.85 and 164.40 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.11 : 428.85 = 164.40 : x
  2. Step 2: Convert to fraction form
    286.11/428.85 = 164.40/x
  3. Step 3: Cross multiply
    286.11x = 428.85 × 164.40
  4. Step 4: Simplify right side
    286.11x = 70,502.94
  5. Step 5: Solve for x
    x = 70,502.94/286.11
  6. Step 6: Final answer
    x = 246.42

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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.