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Finding the Fourth Proportional to 182.75, 253.94 and 180.87

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Solution

The fourth proportional to 182.75, 253.94 and 180.87 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.75 : 253.94 = 180.87 : x
  2. Step 2: Convert to fraction form
    182.75/253.94 = 180.87/x
  3. Step 3: Cross multiply
    182.75x = 253.94 × 180.87
  4. Step 4: Simplify right side
    182.75x = 45,929.22
  5. Step 5: Solve for x
    x = 45,929.22/182.75
  6. Step 6: Final answer
    x = 251.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.