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Finding the Fourth Proportional to 275.36, 380.04 and 201.64

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Solution

The fourth proportional to 275.36, 380.04 and 201.64 is: 278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.36 : 380.04 = 201.64 : x
  2. Step 2: Convert to fraction form
    275.36/380.04 = 201.64/x
  3. Step 3: Cross multiply
    275.36x = 380.04 × 201.64
  4. Step 4: Simplify right side
    275.36x = 76,631.27
  5. Step 5: Solve for x
    x = 76,631.27/275.36
  6. Step 6: Final answer
    x = 278.29

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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.