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Finding the Fourth Proportional to 183.25, 274.98 and 97.75

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Solution

The fourth proportional to 183.25, 274.98 and 97.75 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 274.98 = 97.75 : x
  2. Step 2: Convert to fraction form
    183.25/274.98 = 97.75/x
  3. Step 3: Cross multiply
    183.25x = 274.98 × 97.75
  4. Step 4: Simplify right side
    183.25x = 26,879.30
  5. Step 5: Solve for x
    x = 26,879.30/183.25
  6. Step 6: Final answer
    x = 146.68

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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.