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Finding the Fourth Proportional to 183.14, 274.19 and 146.22

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Solution

The fourth proportional to 183.14, 274.19 and 146.22 is: 218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 274.19 = 146.22 : x
  2. Step 2: Convert to fraction form
    183.14/274.19 = 146.22/x
  3. Step 3: Cross multiply
    183.14x = 274.19 × 146.22
  4. Step 4: Simplify right side
    183.14x = 40,092.36
  5. Step 5: Solve for x
    x = 40,092.36/183.14
  6. Step 6: Final answer
    x = 218.92

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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.