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Finding the Fourth Proportional to 226.03, 339.08 and 97.75

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Solution

The fourth proportional to 226.03, 339.08 and 97.75 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.03 : 339.08 = 97.75 : x
  2. Step 2: Convert to fraction form
    226.03/339.08 = 97.75/x
  3. Step 3: Cross multiply
    226.03x = 339.08 × 97.75
  4. Step 4: Simplify right side
    226.03x = 33,145.07
  5. Step 5: Solve for x
    x = 33,145.07/226.03
  6. Step 6: Final answer
    x = 146.64

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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.