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Finding the Fourth Proportional to 185.52, 253.77 and 182.70

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Solution

The fourth proportional to 185.52, 253.77 and 182.70 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 253.77 = 182.70 : x
  2. Step 2: Convert to fraction form
    185.52/253.77 = 182.70/x
  3. Step 3: Cross multiply
    185.52x = 253.77 × 182.70
  4. Step 4: Simplify right side
    185.52x = 46,363.78
  5. Step 5: Solve for x
    x = 46,363.78/185.52
  6. Step 6: Final answer
    x = 249.91

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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.