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Finding the Fourth Proportional to 224.28, 309.73 and 154.52

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Solution

The fourth proportional to 224.28, 309.73 and 154.52 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 309.73 = 154.52 : x
  2. Step 2: Convert to fraction form
    224.28/309.73 = 154.52/x
  3. Step 3: Cross multiply
    224.28x = 309.73 × 154.52
  4. Step 4: Simplify right side
    224.28x = 47,857.16
  5. Step 5: Solve for x
    x = 47,857.16/224.28
  6. Step 6: Final answer
    x = 213.39

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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.