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Finding the Fourth Proportional to 542.58, 814.12 and 196.06

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Solution

The fourth proportional to 542.58, 814.12 and 196.06 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 814.12 = 196.06 : x
  2. Step 2: Convert to fraction form
    542.58/814.12 = 196.06/x
  3. Step 3: Cross multiply
    542.58x = 814.12 × 196.06
  4. Step 4: Simplify right side
    542.58x = 159,616.37
  5. Step 5: Solve for x
    x = 159,616.37/542.58
  6. Step 6: Final answer
    x = 294.18

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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.