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Finding the Fourth Proportional to 201.36, 277.74 and 180.84

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Solution

The fourth proportional to 201.36, 277.74 and 180.84 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 277.74 = 180.84 : x
  2. Step 2: Convert to fraction form
    201.36/277.74 = 180.84/x
  3. Step 3: Cross multiply
    201.36x = 277.74 × 180.84
  4. Step 4: Simplify right side
    201.36x = 50,226.50
  5. Step 5: Solve for x
    x = 50,226.50/201.36
  6. Step 6: Final answer
    x = 249.44

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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.