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Finding the Fourth Proportional to 182.71, 274.16 and 80.02

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Solution

The fourth proportional to 182.71, 274.16 and 80.02 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.71 : 274.16 = 80.02 : x
  2. Step 2: Convert to fraction form
    182.71/274.16 = 80.02/x
  3. Step 3: Cross multiply
    182.71x = 274.16 × 80.02
  4. Step 4: Simplify right side
    182.71x = 21,938.28
  5. Step 5: Solve for x
    x = 21,938.28/182.71
  6. Step 6: Final answer
    x = 120.07

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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.