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Finding the Fourth Proportional to 185.34, 276.42 and 179.27

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Solution

The fourth proportional to 185.34, 276.42 and 179.27 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 276.42 = 179.27 : x
  2. Step 2: Convert to fraction form
    185.34/276.42 = 179.27/x
  3. Step 3: Cross multiply
    185.34x = 276.42 × 179.27
  4. Step 4: Simplify right side
    185.34x = 49,553.81
  5. Step 5: Solve for x
    x = 49,553.81/185.34
  6. Step 6: Final answer
    x = 267.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.