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Finding the Fourth Proportional to 272.41, 375.63 and 198.76

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Solution

The fourth proportional to 272.41, 375.63 and 198.76 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.41 : 375.63 = 198.76 : x
  2. Step 2: Convert to fraction form
    272.41/375.63 = 198.76/x
  3. Step 3: Cross multiply
    272.41x = 375.63 × 198.76
  4. Step 4: Simplify right side
    272.41x = 74,660.22
  5. Step 5: Solve for x
    x = 74,660.22/272.41
  6. Step 6: Final answer
    x = 274.07

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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.