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Finding the Fourth Proportional to 400.27, 599.88 and 183.37

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Solution

The fourth proportional to 400.27, 599.88 and 183.37 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 599.88 = 183.37 : x
  2. Step 2: Convert to fraction form
    400.27/599.88 = 183.37/x
  3. Step 3: Cross multiply
    400.27x = 599.88 × 183.37
  4. Step 4: Simplify right side
    400.27x = 109,997.00
  5. Step 5: Solve for x
    x = 109,997.00/400.27
  6. Step 6: Final answer
    x = 274.81

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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.