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Finding the Fourth Proportional to 360.75, 541.08 and 198.05

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Solution

The fourth proportional to 360.75, 541.08 and 198.05 is: 297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.75 : 541.08 = 198.05 : x
  2. Step 2: Convert to fraction form
    360.75/541.08 = 198.05/x
  3. Step 3: Cross multiply
    360.75x = 541.08 × 198.05
  4. Step 4: Simplify right side
    360.75x = 107,158.19
  5. Step 5: Solve for x
    x = 107,158.19/360.75
  6. Step 6: Final answer
    x = 297.04

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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.