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Finding the Fourth Proportional to 183.53, 251.77 and 178.94

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Solution

The fourth proportional to 183.53, 251.77 and 178.94 is: 245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.53 : 251.77 = 178.94 : x
  2. Step 2: Convert to fraction form
    183.53/251.77 = 178.94/x
  3. Step 3: Cross multiply
    183.53x = 251.77 × 178.94
  4. Step 4: Simplify right side
    183.53x = 45,051.72
  5. Step 5: Solve for x
    x = 45,051.72/183.53
  6. Step 6: Final answer
    x = 245.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.