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Finding the Fourth Proportional to 300.27, 414.35 and 174.22

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Solution

The fourth proportional to 300.27, 414.35 and 174.22 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 414.35 = 174.22 : x
  2. Step 2: Convert to fraction form
    300.27/414.35 = 174.22/x
  3. Step 3: Cross multiply
    300.27x = 414.35 × 174.22
  4. Step 4: Simplify right side
    300.27x = 72,190.41
  5. Step 5: Solve for x
    x = 72,190.41/300.27
  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.