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Finding the Fourth Proportional to 201.08, 274.94 and 193.52

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Solution

The fourth proportional to 201.08, 274.94 and 193.52 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 274.94 = 193.52 : x
  2. Step 2: Convert to fraction form
    201.08/274.94 = 193.52/x
  3. Step 3: Cross multiply
    201.08x = 274.94 × 193.52
  4. Step 4: Simplify right side
    201.08x = 53,206.39
  5. Step 5: Solve for x
    x = 53,206.39/201.08
  6. Step 6: Final answer
    x = 264.60

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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.