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Finding the Fourth Proportional to 225.84, 338.34 and 122.97

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Solution

The fourth proportional to 225.84, 338.34 and 122.97 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.34 = 122.97 : x
  2. Step 2: Convert to fraction form
    225.84/338.34 = 122.97/x
  3. Step 3: Cross multiply
    225.84x = 338.34 × 122.97
  4. Step 4: Simplify right side
    225.84x = 41,605.67
  5. Step 5: Solve for x
    x = 41,605.67/225.84
  6. Step 6: Final answer
    x = 184.23

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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.