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Finding the Fourth Proportional to 298.47, 447.60 and 115.92

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Solution

The fourth proportional to 298.47, 447.60 and 115.92 is: 173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 447.60 = 115.92 : x
  2. Step 2: Convert to fraction form
    298.47/447.60 = 115.92/x
  3. Step 3: Cross multiply
    298.47x = 447.60 × 115.92
  4. Step 4: Simplify right side
    298.47x = 51,885.79
  5. Step 5: Solve for x
    x = 51,885.79/298.47
  6. Step 6: Final answer
    x = 173.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.