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Finding the Fourth Proportional to 298.53, 412.02 and 174.21

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Solution

The fourth proportional to 298.53, 412.02 and 174.21 is: 240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 412.02 = 174.21 : x
  2. Step 2: Convert to fraction form
    298.53/412.02 = 174.21/x
  3. Step 3: Cross multiply
    298.53x = 412.02 × 174.21
  4. Step 4: Simplify right side
    298.53x = 71,778.00
  5. Step 5: Solve for x
    x = 71,778.00/298.53
  6. Step 6: Final answer
    x = 240.44

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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.