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Finding the Fourth Proportional to 226.16, 339.26 and 154.08

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Solution

The fourth proportional to 226.16, 339.26 and 154.08 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 339.26 = 154.08 : x
  2. Step 2: Convert to fraction form
    226.16/339.26 = 154.08/x
  3. Step 3: Cross multiply
    226.16x = 339.26 × 154.08
  4. Step 4: Simplify right side
    226.16x = 52,273.18
  5. Step 5: Solve for x
    x = 52,273.18/226.16
  6. Step 6: Final answer
    x = 231.13

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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.