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Finding the Fourth Proportional to 298.69, 412.16 and 174.31

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Solution

The fourth proportional to 298.69, 412.16 and 174.31 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 412.16 = 174.31 : x
  2. Step 2: Convert to fraction form
    298.69/412.16 = 174.31/x
  3. Step 3: Cross multiply
    298.69x = 412.16 × 174.31
  4. Step 4: Simplify right side
    298.69x = 71,843.01
  5. Step 5: Solve for x
    x = 71,843.01/298.69
  6. Step 6: Final answer
    x = 240.53

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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.