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Finding the Fourth Proportional to 149.91, 206.70 and 122.22

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Solution

The fourth proportional to 149.91, 206.70 and 122.22 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.91 : 206.70 = 122.22 : x
  2. Step 2: Convert to fraction form
    149.91/206.70 = 122.22/x
  3. Step 3: Cross multiply
    149.91x = 206.70 × 122.22
  4. Step 4: Simplify right side
    149.91x = 25,262.87
  5. Step 5: Solve for x
    x = 25,262.87/149.91
  6. Step 6: Final answer
    x = 168.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.