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Finding the Fourth Proportional to 226.56, 338.88 and 153.60

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Solution

The fourth proportional to 226.56, 338.88 and 153.60 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 338.88 = 153.60 : x
  2. Step 2: Convert to fraction form
    226.56/338.88 = 153.60/x
  3. Step 3: Cross multiply
    226.56x = 338.88 × 153.60
  4. Step 4: Simplify right side
    226.56x = 52,051.97
  5. Step 5: Solve for x
    x = 52,051.97/226.56
  6. Step 6: Final answer
    x = 229.75

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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.