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Finding the Fourth Proportional to 360.20, 540.66 and 197.96

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Solution

The fourth proportional to 360.20, 540.66 and 197.96 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 540.66 = 197.96 : x
  2. Step 2: Convert to fraction form
    360.20/540.66 = 197.96/x
  3. Step 3: Cross multiply
    360.20x = 540.66 × 197.96
  4. Step 4: Simplify right side
    360.20x = 107,029.05
  5. Step 5: Solve for x
    x = 107,029.05/360.20
  6. Step 6: Final answer
    x = 297.14

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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.