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Finding the Fourth Proportional to 298.58, 412.01 and 174.23

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Solution

The fourth proportional to 298.58, 412.01 and 174.23 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.58 : 412.01 = 174.23 : x
  2. Step 2: Convert to fraction form
    298.58/412.01 = 174.23/x
  3. Step 3: Cross multiply
    298.58x = 412.01 × 174.23
  4. Step 4: Simplify right side
    298.58x = 71,786.58
  5. Step 5: Solve for x
    x = 71,786.58/298.58
  6. Step 6: Final answer
    x = 240.43

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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.