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Finding the Fourth Proportional to 298.52, 411.92 and 174.14

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Solution

The fourth proportional to 298.52, 411.92 and 174.14 is: 240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 411.92 = 174.14 : x
  2. Step 2: Convert to fraction form
    298.52/411.92 = 174.14/x
  3. Step 3: Cross multiply
    298.52x = 411.92 × 174.14
  4. Step 4: Simplify right side
    298.52x = 71,731.02
  5. Step 5: Solve for x
    x = 71,731.02/298.52
  6. Step 6: Final answer
    x = 240.29

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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.