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Finding the Fourth Proportional to 201.30, 276.93 and 197.52

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Solution

The fourth proportional to 201.30, 276.93 and 197.52 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 276.93 = 197.52 : x
  2. Step 2: Convert to fraction form
    201.30/276.93 = 197.52/x
  3. Step 3: Cross multiply
    201.30x = 276.93 × 197.52
  4. Step 4: Simplify right side
    201.30x = 54,699.21
  5. Step 5: Solve for x
    x = 54,699.21/201.30
  6. Step 6: Final answer
    x = 271.73

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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.