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Finding the Fourth Proportional to 229.31, 343.68 and 137.80

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Solution

The fourth proportional to 229.31, 343.68 and 137.80 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 343.68 = 137.80 : x
  2. Step 2: Convert to fraction form
    229.31/343.68 = 137.80/x
  3. Step 3: Cross multiply
    229.31x = 343.68 × 137.80
  4. Step 4: Simplify right side
    229.31x = 47,359.10
  5. Step 5: Solve for x
    x = 47,359.10/229.31
  6. Step 6: Final answer
    x = 206.53

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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.