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Finding the Fourth Proportional to 229.11, 343.05 and 137.68

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Solution

The fourth proportional to 229.11, 343.05 and 137.68 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.11 : 343.05 = 137.68 : x
  2. Step 2: Convert to fraction form
    229.11/343.05 = 137.68/x
  3. Step 3: Cross multiply
    229.11x = 343.05 × 137.68
  4. Step 4: Simplify right side
    229.11x = 47,230.27
  5. Step 5: Solve for x
    x = 47,230.27/229.11
  6. Step 6: Final answer
    x = 206.15

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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.