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Finding the Fourth Proportional to 386.14, 579.09 and 142.64

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Solution

The fourth proportional to 386.14, 579.09 and 142.64 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 579.09 = 142.64 : x
  2. Step 2: Convert to fraction form
    386.14/579.09 = 142.64/x
  3. Step 3: Cross multiply
    386.14x = 579.09 × 142.64
  4. Step 4: Simplify right side
    386.14x = 82,601.40
  5. Step 5: Solve for x
    x = 82,601.40/386.14
  6. Step 6: Final answer
    x = 213.92

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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.