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Finding the Fourth Proportional to 298.42, 447.46 and 182.90

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Solution

The fourth proportional to 298.42, 447.46 and 182.90 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 447.46 = 182.90 : x
  2. Step 2: Convert to fraction form
    298.42/447.46 = 182.90/x
  3. Step 3: Cross multiply
    298.42x = 447.46 × 182.90
  4. Step 4: Simplify right side
    298.42x = 81,840.43
  5. Step 5: Solve for x
    x = 81,840.43/298.42
  6. Step 6: Final answer
    x = 274.25

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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.