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Finding the Fourth Proportional to 274.73, 412.02 and 177.09

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Solution

The fourth proportional to 274.73, 412.02 and 177.09 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.73 : 412.02 = 177.09 : x
  2. Step 2: Convert to fraction form
    274.73/412.02 = 177.09/x
  3. Step 3: Cross multiply
    274.73x = 412.02 × 177.09
  4. Step 4: Simplify right side
    274.73x = 72,964.62
  5. Step 5: Solve for x
    x = 72,964.62/274.73
  6. Step 6: Final answer
    x = 265.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.