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Finding the Fourth Proportional to 183.90, 277.23 and 182.28

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Solution

The fourth proportional to 183.90, 277.23 and 182.28 is: 274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 277.23 = 182.28 : x
  2. Step 2: Convert to fraction form
    183.90/277.23 = 182.28/x
  3. Step 3: Cross multiply
    183.90x = 277.23 × 182.28
  4. Step 4: Simplify right side
    183.90x = 50,533.48
  5. Step 5: Solve for x
    x = 50,533.48/183.90
  6. Step 6: Final answer
    x = 274.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.