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Finding the Fourth Proportional to 272.60, 376.02 and 195.08

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Solution

The fourth proportional to 272.60, 376.02 and 195.08 is: 269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.60 : 376.02 = 195.08 : x
  2. Step 2: Convert to fraction form
    272.60/376.02 = 195.08/x
  3. Step 3: Cross multiply
    272.60x = 376.02 × 195.08
  4. Step 4: Simplify right side
    272.60x = 73,353.98
  5. Step 5: Solve for x
    x = 73,353.98/272.60
  6. Step 6: Final answer
    x = 269.09

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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.