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Finding the Fourth Proportional to 220.23, 304.14 and 174.09

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Solution

The fourth proportional to 220.23, 304.14 and 174.09 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 304.14 = 174.09 : x
  2. Step 2: Convert to fraction form
    220.23/304.14 = 174.09/x
  3. Step 3: Cross multiply
    220.23x = 304.14 × 174.09
  4. Step 4: Simplify right side
    220.23x = 52,947.73
  5. Step 5: Solve for x
    x = 52,947.73/220.23
  6. Step 6: Final answer
    x = 240.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.