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Finding the Fourth Proportional to 298.32, 447.17 and 182.84

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Solution

The fourth proportional to 298.32, 447.17 and 182.84 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 447.17 = 182.84 : x
  2. Step 2: Convert to fraction form
    298.32/447.17 = 182.84/x
  3. Step 3: Cross multiply
    298.32x = 447.17 × 182.84
  4. Step 4: Simplify right side
    298.32x = 81,760.96
  5. Step 5: Solve for x
    x = 81,760.96/298.32
  6. Step 6: Final answer
    x = 274.07

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