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Finding the Fourth Proportional to 298.82, 412.36 and 174.55

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Solution

The fourth proportional to 298.82, 412.36 and 174.55 is: 240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 412.36 = 174.55 : x
  2. Step 2: Convert to fraction form
    298.82/412.36 = 174.55/x
  3. Step 3: Cross multiply
    298.82x = 412.36 × 174.55
  4. Step 4: Simplify right side
    298.82x = 71,975.97
  5. Step 5: Solve for x
    x = 71,975.97/298.82
  6. Step 6: Final answer
    x = 240.87

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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.