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Finding the Fourth Proportional to 225.54, 338.24 and 174.24

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Solution

The fourth proportional to 225.54, 338.24 and 174.24 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 338.24 = 174.24 : x
  2. Step 2: Convert to fraction form
    225.54/338.24 = 174.24/x
  3. Step 3: Cross multiply
    225.54x = 338.24 × 174.24
  4. Step 4: Simplify right side
    225.54x = 58,934.94
  5. Step 5: Solve for x
    x = 58,934.94/225.54
  6. Step 6: Final answer
    x = 261.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.