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Finding the Fourth Proportional to 224.28, 309.49 and 126.07

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Solution

The fourth proportional to 224.28, 309.49 and 126.07 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 309.49 = 126.07 : x
  2. Step 2: Convert to fraction form
    224.28/309.49 = 126.07/x
  3. Step 3: Cross multiply
    224.28x = 309.49 × 126.07
  4. Step 4: Simplify right side
    224.28x = 39,017.40
  5. Step 5: Solve for x
    x = 39,017.40/224.28
  6. Step 6: Final answer
    x = 173.97

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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.