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Finding the Fourth Proportional to 386.49, 579.21 and 142.78

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Solution

The fourth proportional to 386.49, 579.21 and 142.78 is: 213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.49 : 579.21 = 142.78 : x
  2. Step 2: Convert to fraction form
    386.49/579.21 = 142.78/x
  3. Step 3: Cross multiply
    386.49x = 579.21 × 142.78
  4. Step 4: Simplify right side
    386.49x = 82,699.60
  5. Step 5: Solve for x
    x = 82,699.60/386.49
  6. Step 6: Final answer
    x = 213.98

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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.