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Finding the Fourth Proportional to 211.28, 290.32 and 201.76

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Solution

The fourth proportional to 211.28, 290.32 and 201.76 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.28 : 290.32 = 201.76 : x
  2. Step 2: Convert to fraction form
    211.28/290.32 = 201.76/x
  3. Step 3: Cross multiply
    211.28x = 290.32 × 201.76
  4. Step 4: Simplify right side
    211.28x = 58,573.73
  5. Step 5: Solve for x
    x = 58,573.73/211.28
  6. Step 6: Final answer
    x = 277.24

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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.