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Finding the Fourth Proportional to 542.98, 814.20 and 196.18

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Solution

The fourth proportional to 542.98, 814.20 and 196.18 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 814.20 = 196.18 : x
  2. Step 2: Convert to fraction form
    542.98/814.20 = 196.18/x
  3. Step 3: Cross multiply
    542.98x = 814.20 × 196.18
  4. Step 4: Simplify right side
    542.98x = 159,729.76
  5. Step 5: Solve for x
    x = 159,729.76/542.98
  6. Step 6: Final answer
    x = 294.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.