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Finding the Fourth Proportional to 542.83, 814.26 and 196.20

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Solution

The fourth proportional to 542.83, 814.26 and 196.20 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.83 : 814.26 = 196.20 : x
  2. Step 2: Convert to fraction form
    542.83/814.26 = 196.20/x
  3. Step 3: Cross multiply
    542.83x = 814.26 × 196.20
  4. Step 4: Simplify right side
    542.83x = 159,757.81
  5. Step 5: Solve for x
    x = 159,757.81/542.83
  6. Step 6: Final answer
    x = 294.31

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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.