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Finding the Fourth Proportional to 182.46, 275.68 and 180.84

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Solution

The fourth proportional to 182.46, 275.68 and 180.84 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 275.68 = 180.84 : x
  2. Step 2: Convert to fraction form
    182.46/275.68 = 180.84/x
  3. Step 3: Cross multiply
    182.46x = 275.68 × 180.84
  4. Step 4: Simplify right side
    182.46x = 49,855.23
  5. Step 5: Solve for x
    x = 49,855.23/182.46
  6. Step 6: Final answer
    x = 273.23

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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.