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Finding the Fourth Proportional to 542.29, 813.46 and 195.61

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Solution

The fourth proportional to 542.29, 813.46 and 195.61 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.29 : 813.46 = 195.61 : x
  2. Step 2: Convert to fraction form
    542.29/813.46 = 195.61/x
  3. Step 3: Cross multiply
    542.29x = 813.46 × 195.61
  4. Step 4: Simplify right side
    542.29x = 159,118.39
  5. Step 5: Solve for x
    x = 159,118.39/542.29
  6. Step 6: Final answer
    x = 293.42

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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.