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Finding the Fourth Proportional to 542.38, 813.49 and 195.66

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Solution

The fourth proportional to 542.38, 813.49 and 195.66 is: 293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 813.49 = 195.66 : x
  2. Step 2: Convert to fraction form
    542.38/813.49 = 195.66/x
  3. Step 3: Cross multiply
    542.38x = 813.49 × 195.66
  4. Step 4: Simplify right side
    542.38x = 159,167.45
  5. Step 5: Solve for x
    x = 159,167.45/542.38
  6. Step 6: Final answer
    x = 293.46

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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.