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Finding the Fourth Proportional to 184.28, 278.03 and 182.12

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Solution

The fourth proportional to 184.28, 278.03 and 182.12 is: 274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.28 : 278.03 = 182.12 : x
  2. Step 2: Convert to fraction form
    184.28/278.03 = 182.12/x
  3. Step 3: Cross multiply
    184.28x = 278.03 × 182.12
  4. Step 4: Simplify right side
    184.28x = 50,634.82
  5. Step 5: Solve for x
    x = 50,634.82/184.28
  6. Step 6: Final answer
    x = 274.77

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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.