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Finding the Fourth Proportional to 226.60, 339.59 and 199.87

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Solution

The fourth proportional to 226.60, 339.59 and 199.87 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 339.59 = 199.87 : x
  2. Step 2: Convert to fraction form
    226.60/339.59 = 199.87/x
  3. Step 3: Cross multiply
    226.60x = 339.59 × 199.87
  4. Step 4: Simplify right side
    226.60x = 67,873.50
  5. Step 5: Solve for x
    x = 67,873.50/226.60
  6. Step 6: Final answer
    x = 299.53

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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.