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Finding the Fourth Proportional to 272.52, 376.50 and 198.69

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Solution

The fourth proportional to 272.52, 376.50 and 198.69 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 376.50 = 198.69 : x
  2. Step 2: Convert to fraction form
    272.52/376.50 = 198.69/x
  3. Step 3: Cross multiply
    272.52x = 376.50 × 198.69
  4. Step 4: Simplify right side
    272.52x = 74,806.79
  5. Step 5: Solve for x
    x = 74,806.79/272.52
  6. Step 6: Final answer
    x = 274.50

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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.