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Finding the Fourth Proportional to 386.31, 579.62 and 142.86

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Solution

The fourth proportional to 386.31, 579.62 and 142.86 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.31 : 579.62 = 142.86 : x
  2. Step 2: Convert to fraction form
    386.31/579.62 = 142.86/x
  3. Step 3: Cross multiply
    386.31x = 579.62 × 142.86
  4. Step 4: Simplify right side
    386.31x = 82,800.90
  5. Step 5: Solve for x
    x = 82,800.90/386.31
  6. Step 6: Final answer
    x = 214.34

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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.