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Finding the Fourth Proportional to 201.50, 279.24 and 197.85

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Solution

The fourth proportional to 201.50, 279.24 and 197.85 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.50 : 279.24 = 197.85 : x
  2. Step 2: Convert to fraction form
    201.50/279.24 = 197.85/x
  3. Step 3: Cross multiply
    201.50x = 279.24 × 197.85
  4. Step 4: Simplify right side
    201.50x = 55,247.63
  5. Step 5: Solve for x
    x = 55,247.63/201.50
  6. Step 6: Final answer
    x = 274.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.