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Finding the Fourth Proportional to 149.75, 223.71 and 125.45

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Solution

The fourth proportional to 149.75, 223.71 and 125.45 is: 187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 223.71 = 125.45 : x
  2. Step 2: Convert to fraction form
    149.75/223.71 = 125.45/x
  3. Step 3: Cross multiply
    149.75x = 223.71 × 125.45
  4. Step 4: Simplify right side
    149.75x = 28,063.30
  5. Step 5: Solve for x
    x = 28,063.30/149.75
  6. Step 6: Final answer
    x = 187.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.