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Finding the Fourth Proportional to 542.50, 813.53 and 195.73

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Solution

The fourth proportional to 542.50, 813.53 and 195.73 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 813.53 = 195.73 : x
  2. Step 2: Convert to fraction form
    542.50/813.53 = 195.73/x
  3. Step 3: Cross multiply
    542.50x = 813.53 × 195.73
  4. Step 4: Simplify right side
    542.50x = 159,232.23
  5. Step 5: Solve for x
    x = 159,232.23/542.50
  6. Step 6: Final answer
    x = 293.52

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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.