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Finding the Fourth Proportional to 298.97, 412.61 and 174.60

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Solution

The fourth proportional to 298.97, 412.61 and 174.60 is: 240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.97 : 412.61 = 174.60 : x
  2. Step 2: Convert to fraction form
    298.97/412.61 = 174.60/x
  3. Step 3: Cross multiply
    298.97x = 412.61 × 174.60
  4. Step 4: Simplify right side
    298.97x = 72,040.83
  5. Step 5: Solve for x
    x = 72,040.83/298.97
  6. Step 6: Final answer
    x = 240.96

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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.