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Finding the Fourth Proportional to 148.26, 222.42 and 50.75

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Solution

The fourth proportional to 148.26, 222.42 and 50.75 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 222.42 = 50.75 : x
  2. Step 2: Convert to fraction form
    148.26/222.42 = 50.75/x
  3. Step 3: Cross multiply
    148.26x = 222.42 × 50.75
  4. Step 4: Simplify right side
    148.26x = 11,286.70
  5. Step 5: Solve for x
    x = 11,286.70/148.26
  6. Step 6: Final answer
    x = 76.13

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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.