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Finding the Fourth Proportional to 226.85, 340 and 96.81

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Solution

The fourth proportional to 226.85, 340 and 96.81 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.85 : 340 = 96.81 : x
  2. Step 2: Convert to fraction form
    226.85/340 = 96.81/x
  3. Step 3: Cross multiply
    226.85x = 340 × 96.81
  4. Step 4: Simplify right side
    226.85x = 32,915.40
  5. Step 5: Solve for x
    x = 32,915.40/226.85
  6. Step 6: Final answer
    x = 145.10

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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.