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Finding the Fourth Proportional to 542.03, 813.19 and 195.40

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Solution

The fourth proportional to 542.03, 813.19 and 195.40 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 813.19 = 195.40 : x
  2. Step 2: Convert to fraction form
    542.03/813.19 = 195.40/x
  3. Step 3: Cross multiply
    542.03x = 813.19 × 195.40
  4. Step 4: Simplify right side
    542.03x = 158,897.33
  5. Step 5: Solve for x
    x = 158,897.33/542.03
  6. Step 6: Final answer
    x = 293.15

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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.