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Finding the Fourth Proportional to 228.97, 343.17 and 126.03

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Solution

The fourth proportional to 228.97, 343.17 and 126.03 is: 188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.97 : 343.17 = 126.03 : x
  2. Step 2: Convert to fraction form
    228.97/343.17 = 126.03/x
  3. Step 3: Cross multiply
    228.97x = 343.17 × 126.03
  4. Step 4: Simplify right side
    228.97x = 43,249.08
  5. Step 5: Solve for x
    x = 43,249.08/228.97
  6. Step 6: Final answer
    x = 188.89

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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.