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Finding the Fourth Proportional to 542.82, 814.07 and 196.10

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Solution

The fourth proportional to 542.82, 814.07 and 196.10 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 814.07 = 196.10 : x
  2. Step 2: Convert to fraction form
    542.82/814.07 = 196.10/x
  3. Step 3: Cross multiply
    542.82x = 814.07 × 196.10
  4. Step 4: Simplify right side
    542.82x = 159,642.08
  5. Step 5: Solve for x
    x = 159,642.08/542.82
  6. Step 6: Final answer
    x = 294.10

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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.