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Finding the Fourth Proportional to 285.73, 428.75 and 164.09

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Solution

The fourth proportional to 285.73, 428.75 and 164.09 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 428.75 = 164.09 : x
  2. Step 2: Convert to fraction form
    285.73/428.75 = 164.09/x
  3. Step 3: Cross multiply
    285.73x = 428.75 × 164.09
  4. Step 4: Simplify right side
    285.73x = 70,353.59
  5. Step 5: Solve for x
    x = 70,353.59/285.73
  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.