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Finding the Fourth Proportional to 542.81, 814.25 and 196.14

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Solution

The fourth proportional to 542.81, 814.25 and 196.14 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 814.25 = 196.14 : x
  2. Step 2: Convert to fraction form
    542.81/814.25 = 196.14/x
  3. Step 3: Cross multiply
    542.81x = 814.25 × 196.14
  4. Step 4: Simplify right side
    542.81x = 159,705.13
  5. Step 5: Solve for x
    x = 159,705.13/542.81
  6. Step 6: Final answer
    x = 294.22

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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.