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Finding the Fourth Proportional to 225.97, 338.94 and 135.23

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Solution

The fourth proportional to 225.97, 338.94 and 135.23 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.97 : 338.94 = 135.23 : x
  2. Step 2: Convert to fraction form
    225.97/338.94 = 135.23/x
  3. Step 3: Cross multiply
    225.97x = 338.94 × 135.23
  4. Step 4: Simplify right side
    225.97x = 45,834.86
  5. Step 5: Solve for x
    x = 45,834.86/225.97
  6. Step 6: Final answer
    x = 202.84

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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.