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Finding the Fourth Proportional to 360.68, 539.64 and 198.48

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Solution

The fourth proportional to 360.68, 539.64 and 198.48 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.68 : 539.64 = 198.48 : x
  2. Step 2: Convert to fraction form
    360.68/539.64 = 198.48/x
  3. Step 3: Cross multiply
    360.68x = 539.64 × 198.48
  4. Step 4: Simplify right side
    360.68x = 107,107.75
  5. Step 5: Solve for x
    x = 107,107.75/360.68
  6. Step 6: Final answer
    x = 296.96

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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.