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Finding the Fourth Proportional to 224.27, 309.50 and 126.03

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Solution

The fourth proportional to 224.27, 309.50 and 126.03 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 309.50 = 126.03 : x
  2. Step 2: Convert to fraction form
    224.27/309.50 = 126.03/x
  3. Step 3: Cross multiply
    224.27x = 309.50 × 126.03
  4. Step 4: Simplify right side
    224.27x = 39,004.11
  5. Step 5: Solve for x
    x = 39,004.11/224.27
  6. Step 6: Final answer
    x = 173.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.