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Finding the Fourth Proportional to 182, 249.73 and 180.32

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Solution

The fourth proportional to 182, 249.73 and 180.32 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 249.73 = 180.32 : x
  2. Step 2: Convert to fraction form
    182/249.73 = 180.32/x
  3. Step 3: Cross multiply
    182x = 249.73 × 180.32
  4. Step 4: Simplify right side
    182x = 45,031.31
  5. Step 5: Solve for x
    x = 45,031.31/182
  6. Step 6: Final answer
    x = 247.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.