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Finding the Fourth Proportional to 187.22, 280.94 and 122.21

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Solution

The fourth proportional to 187.22, 280.94 and 122.21 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 280.94 = 122.21 : x
  2. Step 2: Convert to fraction form
    187.22/280.94 = 122.21/x
  3. Step 3: Cross multiply
    187.22x = 280.94 × 122.21
  4. Step 4: Simplify right side
    187.22x = 34,331.66
  5. Step 5: Solve for x
    x = 34,331.66/187.22
  6. Step 6: Final answer
    x = 183.37

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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.