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Finding the Fourth Proportional to 298.59, 447.35 and 182.72

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Solution

The fourth proportional to 298.59, 447.35 and 182.72 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 447.35 = 182.72 : x
  2. Step 2: Convert to fraction form
    298.59/447.35 = 182.72/x
  3. Step 3: Cross multiply
    298.59x = 447.35 × 182.72
  4. Step 4: Simplify right side
    298.59x = 81,736.64
  5. Step 5: Solve for x
    x = 81,736.64/298.59
  6. Step 6: Final answer
    x = 273.74

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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.