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Finding the Fourth Proportional to 226.76, 340.22 and 96.84

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Solution

The fourth proportional to 226.76, 340.22 and 96.84 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 340.22 = 96.84 : x
  2. Step 2: Convert to fraction form
    226.76/340.22 = 96.84/x
  3. Step 3: Cross multiply
    226.76x = 340.22 × 96.84
  4. Step 4: Simplify right side
    226.76x = 32,946.90
  5. Step 5: Solve for x
    x = 32,946.90/226.76
  6. Step 6: Final answer
    x = 145.29

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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.