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Finding the Fourth Proportional to 272.22, 375.99 and 198.87

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Solution

The fourth proportional to 272.22, 375.99 and 198.87 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.22 : 375.99 = 198.87 : x
  2. Step 2: Convert to fraction form
    272.22/375.99 = 198.87/x
  3. Step 3: Cross multiply
    272.22x = 375.99 × 198.87
  4. Step 4: Simplify right side
    272.22x = 74,773.13
  5. Step 5: Solve for x
    x = 74,773.13/272.22
  6. Step 6: Final answer
    x = 274.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.