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Finding the Fourth Proportional to 298.71, 412.24 and 174.37

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Solution

The fourth proportional to 298.71, 412.24 and 174.37 is: 240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 412.24 = 174.37 : x
  2. Step 2: Convert to fraction form
    298.71/412.24 = 174.37/x
  3. Step 3: Cross multiply
    298.71x = 412.24 × 174.37
  4. Step 4: Simplify right side
    298.71x = 71,882.29
  5. Step 5: Solve for x
    x = 71,882.29/298.71
  6. Step 6: Final answer
    x = 240.64

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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.