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Finding the Fourth Proportional to 211.43, 290.07 and 201.11

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Solution

The fourth proportional to 211.43, 290.07 and 201.11 is: 275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 290.07 = 201.11 : x
  2. Step 2: Convert to fraction form
    211.43/290.07 = 201.11/x
  3. Step 3: Cross multiply
    211.43x = 290.07 × 201.11
  4. Step 4: Simplify right side
    211.43x = 58,334.53
  5. Step 5: Solve for x
    x = 58,334.53/211.43
  6. Step 6: Final answer
    x = 275.90

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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.