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Finding the Fourth Proportional to 226.60, 339.95 and 180.83

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Solution

The fourth proportional to 226.60, 339.95 and 180.83 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 339.95 = 180.83 : x
  2. Step 2: Convert to fraction form
    226.60/339.95 = 180.83/x
  3. Step 3: Cross multiply
    226.60x = 339.95 × 180.83
  4. Step 4: Simplify right side
    226.60x = 61,473.44
  5. Step 5: Solve for x
    x = 61,473.44/226.60
  6. Step 6: Final answer
    x = 271.29

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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.