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Finding the Fourth Proportional to 200.85, 277.12 and 182.13

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Solution

The fourth proportional to 200.85, 277.12 and 182.13 is: 251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 277.12 = 182.13 : x
  2. Step 2: Convert to fraction form
    200.85/277.12 = 182.13/x
  3. Step 3: Cross multiply
    200.85x = 277.12 × 182.13
  4. Step 4: Simplify right side
    200.85x = 50,471.87
  5. Step 5: Solve for x
    x = 50,471.87/200.85
  6. Step 6: Final answer
    x = 251.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.