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Finding the Fourth Proportional to 148.30, 222.22 and 79.92

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Solution

The fourth proportional to 148.30, 222.22 and 79.92 is: 119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.30 : 222.22 = 79.92 : x
  2. Step 2: Convert to fraction form
    148.30/222.22 = 79.92/x
  3. Step 3: Cross multiply
    148.30x = 222.22 × 79.92
  4. Step 4: Simplify right side
    148.30x = 17,759.82
  5. Step 5: Solve for x
    x = 17,759.82/148.30
  6. Step 6: Final answer
    x = 119.76

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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.