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Finding the Fourth Proportional to 360.56, 540.83 and 198.15

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Solution

The fourth proportional to 360.56, 540.83 and 198.15 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 540.83 = 198.15 : x
  2. Step 2: Convert to fraction form
    360.56/540.83 = 198.15/x
  3. Step 3: Cross multiply
    360.56x = 540.83 × 198.15
  4. Step 4: Simplify right side
    360.56x = 107,164.47
  5. Step 5: Solve for x
    x = 107,164.47/360.56
  6. Step 6: Final answer
    x = 297.22

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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.