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Finding the Fourth Proportional to 298.37, 447.09 and 176.50

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Solution

The fourth proportional to 298.37, 447.09 and 176.50 is: 264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 447.09 = 176.50 : x
  2. Step 2: Convert to fraction form
    298.37/447.09 = 176.50/x
  3. Step 3: Cross multiply
    298.37x = 447.09 × 176.50
  4. Step 4: Simplify right side
    298.37x = 78,910.27
  5. Step 5: Solve for x
    x = 78,910.27/298.37
  6. Step 6: Final answer
    x = 264.48

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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.