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Finding the Fourth Proportional to 538, 807.12 and 196

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Solution

The fourth proportional to 538, 807.12 and 196 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 807.12 = 196 : x
  2. Step 2: Convert to fraction form
    538/807.12 = 196/x
  3. Step 3: Cross multiply
    538x = 807.12 × 196
  4. Step 4: Simplify right side
    538x = 158,195.52
  5. Step 5: Solve for x
    x = 158,195.52/538
  6. Step 6: Final answer
    x = 294.04

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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.