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Finding the Fourth Proportional to 148.97, 222.37 and 131.69

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Solution

The fourth proportional to 148.97, 222.37 and 131.69 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 222.37 = 131.69 : x
  2. Step 2: Convert to fraction form
    148.97/222.37 = 131.69/x
  3. Step 3: Cross multiply
    148.97x = 222.37 × 131.69
  4. Step 4: Simplify right side
    148.97x = 29,284.13
  5. Step 5: Solve for x
    x = 29,284.13/148.97
  6. Step 6: Final answer
    x = 196.57

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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.