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Finding the Fourth Proportional to 226.94, 340.30 and 72.83

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Solution

The fourth proportional to 226.94, 340.30 and 72.83 is: 109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 340.30 = 72.83 : x
  2. Step 2: Convert to fraction form
    226.94/340.30 = 72.83/x
  3. Step 3: Cross multiply
    226.94x = 340.30 × 72.83
  4. Step 4: Simplify right side
    226.94x = 24,784.99
  5. Step 5: Solve for x
    x = 24,784.99/226.94
  6. Step 6: Final answer
    x = 109.22

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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.