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Finding the Fourth Proportional to 157.36, 216.26 and 122.80

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Solution

The fourth proportional to 157.36, 216.26 and 122.80 is: 168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 216.26 = 122.80 : x
  2. Step 2: Convert to fraction form
    157.36/216.26 = 122.80/x
  3. Step 3: Cross multiply
    157.36x = 216.26 × 122.80
  4. Step 4: Simplify right side
    157.36x = 26,556.73
  5. Step 5: Solve for x
    x = 26,556.73/157.36
  6. Step 6: Final answer
    x = 168.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.