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Finding the Fourth Proportional to 225.87, 338.82 and 174.84

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Solution

The fourth proportional to 225.87, 338.82 and 174.84 is: 262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 338.82 = 174.84 : x
  2. Step 2: Convert to fraction form
    225.87/338.82 = 174.84/x
  3. Step 3: Cross multiply
    225.87x = 338.82 × 174.84
  4. Step 4: Simplify right side
    225.87x = 59,239.29
  5. Step 5: Solve for x
    x = 59,239.29/225.87
  6. Step 6: Final answer
    x = 262.27

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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.