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Finding the Fourth Proportional to 149.97, 224.89 and 47.23

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Solution

The fourth proportional to 149.97, 224.89 and 47.23 is: 70.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.97 : 224.89 = 47.23 : x
  2. Step 2: Convert to fraction form
    149.97/224.89 = 47.23/x
  3. Step 3: Cross multiply
    149.97x = 224.89 × 47.23
  4. Step 4: Simplify right side
    149.97x = 10,620.43
  5. Step 5: Solve for x
    x = 10,620.43/149.97
  6. Step 6: Final answer
    x = 70.82

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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.