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Finding the Fourth Proportional to 182.82, 274.41 and 180.66

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Solution

The fourth proportional to 182.82, 274.41 and 180.66 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 274.41 = 180.66 : x
  2. Step 2: Convert to fraction form
    182.82/274.41 = 180.66/x
  3. Step 3: Cross multiply
    182.82x = 274.41 × 180.66
  4. Step 4: Simplify right side
    182.82x = 49,574.91
  5. Step 5: Solve for x
    x = 49,574.91/182.82
  6. Step 6: Final answer
    x = 271.17

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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.