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Finding the Fourth Proportional to 149.75, 224.27 and 137.50

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Solution

The fourth proportional to 149.75, 224.27 and 137.50 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 224.27 = 137.50 : x
  2. Step 2: Convert to fraction form
    149.75/224.27 = 137.50/x
  3. Step 3: Cross multiply
    149.75x = 224.27 × 137.50
  4. Step 4: Simplify right side
    149.75x = 30,836.39
  5. Step 5: Solve for x
    x = 30,836.39/149.75
  6. Step 6: Final answer
    x = 205.92

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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.