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Finding the Fourth Proportional to 360.50, 541.11 and 198.32

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Solution

The fourth proportional to 360.50, 541.11 and 198.32 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 541.11 = 198.32 : x
  2. Step 2: Convert to fraction form
    360.50/541.11 = 198.32/x
  3. Step 3: Cross multiply
    360.50x = 541.11 × 198.32
  4. Step 4: Simplify right side
    360.50x = 107,312.94
  5. Step 5: Solve for x
    x = 107,312.94/360.50
  6. Step 6: Final answer
    x = 297.68

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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.