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Finding the Fourth Proportional to 272.54, 376.22 and 193.87

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Solution

The fourth proportional to 272.54, 376.22 and 193.87 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 376.22 = 193.87 : x
  2. Step 2: Convert to fraction form
    272.54/376.22 = 193.87/x
  3. Step 3: Cross multiply
    272.54x = 376.22 × 193.87
  4. Step 4: Simplify right side
    272.54x = 72,937.77
  5. Step 5: Solve for x
    x = 72,937.77/272.54
  6. Step 6: Final answer
    x = 267.62

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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.