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Finding the Fourth Proportional to 182.14, 274.35 and 179.74

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Solution

The fourth proportional to 182.14, 274.35 and 179.74 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 274.35 = 179.74 : x
  2. Step 2: Convert to fraction form
    182.14/274.35 = 179.74/x
  3. Step 3: Cross multiply
    182.14x = 274.35 × 179.74
  4. Step 4: Simplify right side
    182.14x = 49,313.27
  5. Step 5: Solve for x
    x = 49,313.27/182.14
  6. Step 6: Final answer
    x = 270.75

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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.