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Finding the Fourth Proportional to 226.61, 340.46 and 130.49

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Solution

The fourth proportional to 226.61, 340.46 and 130.49 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.61 : 340.46 = 130.49 : x
  2. Step 2: Convert to fraction form
    226.61/340.46 = 130.49/x
  3. Step 3: Cross multiply
    226.61x = 340.46 × 130.49
  4. Step 4: Simplify right side
    226.61x = 44,425.97
  5. Step 5: Solve for x
    x = 44,425.97/226.61
  6. Step 6: Final answer
    x = 196.05

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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.