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Finding the Fourth Proportional to 203.20, 277.51 and 201.04

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Solution

The fourth proportional to 203.20, 277.51 and 201.04 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 277.51 = 201.04 : x
  2. Step 2: Convert to fraction form
    203.20/277.51 = 201.04/x
  3. Step 3: Cross multiply
    203.20x = 277.51 × 201.04
  4. Step 4: Simplify right side
    203.20x = 55,790.61
  5. Step 5: Solve for x
    x = 55,790.61/203.20
  6. Step 6: Final answer
    x = 274.56

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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.