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Finding the Fourth Proportional to 298.56, 447.54 and 183.24

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Solution

The fourth proportional to 298.56, 447.54 and 183.24 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 447.54 = 183.24 : x
  2. Step 2: Convert to fraction form
    298.56/447.54 = 183.24/x
  3. Step 3: Cross multiply
    298.56x = 447.54 × 183.24
  4. Step 4: Simplify right side
    298.56x = 82,007.23
  5. Step 5: Solve for x
    x = 82,007.23/298.56
  6. Step 6: Final answer
    x = 274.68

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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.