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Finding the Fourth Proportional to 182.97, 274.08 and 170.31

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Solution

The fourth proportional to 182.97, 274.08 and 170.31 is: 255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 274.08 = 170.31 : x
  2. Step 2: Convert to fraction form
    182.97/274.08 = 170.31/x
  3. Step 3: Cross multiply
    182.97x = 274.08 × 170.31
  4. Step 4: Simplify right side
    182.97x = 46,678.56
  5. Step 5: Solve for x
    x = 46,678.56/182.97
  6. Step 6: Final answer
    x = 255.12

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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.