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Finding the Fourth Proportional to 542.57, 813.92 and 196.07

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Solution

The fourth proportional to 542.57, 813.92 and 196.07 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 813.92 = 196.07 : x
  2. Step 2: Convert to fraction form
    542.57/813.92 = 196.07/x
  3. Step 3: Cross multiply
    542.57x = 813.92 × 196.07
  4. Step 4: Simplify right side
    542.57x = 159,580.24
  5. Step 5: Solve for x
    x = 159,580.24/542.57
  6. Step 6: Final answer
    x = 294.12

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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.