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Finding the Fourth Proportional to 540.36, 809.82 and 198.12

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Solution

The fourth proportional to 540.36, 809.82 and 198.12 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.36 : 809.82 = 198.12 : x
  2. Step 2: Convert to fraction form
    540.36/809.82 = 198.12/x
  3. Step 3: Cross multiply
    540.36x = 809.82 × 198.12
  4. Step 4: Simplify right side
    540.36x = 160,441.54
  5. Step 5: Solve for x
    x = 160,441.54/540.36
  6. Step 6: Final answer
    x = 296.92

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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.