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Finding the Fourth Proportional to 183.09, 274.71 and 96.42

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Solution

The fourth proportional to 183.09, 274.71 and 96.42 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 274.71 = 96.42 : x
  2. Step 2: Convert to fraction form
    183.09/274.71 = 96.42/x
  3. Step 3: Cross multiply
    183.09x = 274.71 × 96.42
  4. Step 4: Simplify right side
    183.09x = 26,488.93
  5. Step 5: Solve for x
    x = 26,488.93/183.09
  6. Step 6: Final answer
    x = 144.67

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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.