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Finding the Fourth Proportional to 298.34, 447.28 and 182.85

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Solution

The fourth proportional to 298.34, 447.28 and 182.85 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.34 : 447.28 = 182.85 : x
  2. Step 2: Convert to fraction form
    298.34/447.28 = 182.85/x
  3. Step 3: Cross multiply
    298.34x = 447.28 × 182.85
  4. Step 4: Simplify right side
    298.34x = 81,785.15
  5. Step 5: Solve for x
    x = 81,785.15/298.34
  6. Step 6: Final answer
    x = 274.13

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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.